algebra part 6

Dorothy is drawing a block on a poster. She knows that the area of the block is 2003-16-03-00-00_files/i0260000.jpg square cm. Determine which of the following are possible dimensions of the block, in cm.

A. (x - 6)(x - 1)

Factor the polynomial below. 2003-16-01-00-00_files/i0150000.jpg

A. 2003-16-01-00-00_files/i0150001.jpg

Factor by grouping. 2003-16-02-00-00_files/i0070000.jpg

A. 2003-16-02-00-00_files/i0070001.jpg

Choose the correct factorization for the polynomial. 2003-16-02-00-00_files/i0130000.jpg

A. 2003-16-02-00-00_files/i0130001.jpg

The area of a rectangle is 2003-16-02-00-00_files/i0270000.jpg square cm. Find the possible dimensions of the figure, in cm.

A. 2003-16-02-00-00_files/i0270001.jpg

Factor the following trinomial. 2003-16-03-00-00_files/i0040000.jpg

A. 2003-16-03-00-00_files/i0040001.jpg

Factor completely. 2003-16-04-00-00_files/i0290000.jpg

A. 2003-16-04-00-00_files/i0290001.jpg

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

A. 2003-16-05-00-00_files/i0150001.jpg

Which of the following value pairs can be used as m and n to factor the expression 2003-16-04-00-00_files/i0080000.jpg?

A. 3, 4

Given that n = 3x + 5, and 2003-16-04-00-00_files/i0310000.jpg, find m.

A. 6x - 1

Jamar is attempting to factor the expression 2003-16-04-00-00_files/i0150000.jpg. In his first step, he rewrites the expression as 2003-16-04-00-00_files/i0150001.jpg. Which of the following statements in true about Jamar's work?

A. Jamar's first step is correct. He should continue to factor the expression.

Which of the following is a factor of the polynomial below? 2003-16-06-00-00_files/i0140000.jpg

A. c + 1

Identify which technique would be best applied to factor the polynomial below. 2003-16-06-00-00_files/i0070000.jpg

A. difference of two squares

The area of a square is given by the expression 2003-16-05-00-00_files/i0210000.jpg square inches. Find an expression that represents the length of one side of the square, in inches.

A. x - 6

When completely factored, 2003-16-03-00-00_files/i0160000.jpg is equivalent to which of the following?

B. (x + 3)(x - 2)

Which of the following is a list of the positive factors of 60?

B. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Find the greatest common factor of 2003-16-01-00-00_files/i0140000.jpg and 2003-16-01-00-00_files/i0140001.jpg.

B. 2003-16-01-00-00_files/i0140003.jpg

Choose the correct factorization for the polynomial. 2003-16-02-00-00_files/i0110000.jpg

B. 2003-16-02-00-00_files/i0110002.jpg

Finish factoring the polynomial using factoring by grouping. 2003-16-02-00-00_files/i0190000.jpg

B. 2003-16-02-00-00_files/i0190002.jpg

Factor the expression below. 2003-16-05-00-00_files/i0170000.jpg

B. 2003-16-05-00-00_files/i0170002.jpg

Determine which factors below can be the dimensions of a rectangle with an area of 2003-16-06-00-00_files/i0280000.jpg.

B. 2003-16-06-00-00_files/i0280002.jpg

Find the greatest common factor of 24 and 48x.

B. 24

Find the greatest common factor of / and /?

B. 8z

Maria is attempting to factor the expression 2003-16-06-00-00_files/i0270000.jpg. In her first step, she rewrites the expression as 2003-16-06-00-00_files/i0270001.jpg. Which of the following statements is true about Maria's work?

B. She factored out a positive GCF in the second group of factors, but it should have been negative.

Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not. 2003-16-05-00-00_files/i0260000.jpg

B. The 2003-16-05-00-00_files/i0260002.jpg coefficient does permit the factoring, but the x coefficient does not permit the factoring

Monica is attempting to factor the expression 18x2 + 27x - 5. In her first step, she rewrites the expression as 18x2 + 32x - 5x - 5. Which of the following statements is true about Monica's work?

B. The two middle coefficients add to the correct number, but do not multiply to the correct number.

The method used to factor trinomials of the form 2003-16-04-00-00_files/i0170000.jpg can also be used to factor binomials of the form 2003-16-04-00-00_files/i0170001.jpg by realizing that, in this case, ____

B. b = 0

The method used to factor trinomials of the form 2003-16-04-00-00_files/i0170000.jpg can also be used to factor binomials of the form 2003-16-04-00-00_files/i0170001.jpg by realizing that, in this case, _____.

B. b = 0

Which of the following strategies is appropriate for factoring polynomials with 2 terms?

B. determine if the polynomial is the difference of two squares

Identify which technique would be best applied to factor the polynomial below. 2003-16-06-00-00_files/i0090000.jpg

B. grouping

Which of the following is a factor of the polynomial below? 2003-16-06-00-00_files/i0100000.jpg

B. x + 2

Given 2003-16-01-00-00_files/i0240000.jpg, which values of x will satisfy the equation? (Hint: Factor the polynomial into two terms, and find the values of x that will make each term 0.)

B. x = 0 and 2003-16-01-00-00_files/i0240002.jpg

Which binomial below is a factor of the polynomial 2003-16-02-00-00_files/i0030000.jpg?

C. (3a - 2)

What are the factors of -56 that would be relevant in the correct factorization of 2003-16-03-00-00_files/i0020000.jpg?

C. (7, -8)

What is the complete factorization of the trinomial 2003-16-03-00-00_files/i0180000.jpg?

C. (x - 8)(x - 9)

The area of a rectangular portion of a national park is 2003-16-01-00-00_files/i0210000.jpg square km. If the length is 8x km long, what is the width, in km?

C. 2003-16-01-00-00_files/i0210003.jpg

Determine which of the following expressions can be factored to (y - 4)(y - 7).

C. 2003-16-03-00-00_files/i0100002.jpg

The first step in factoring a trinomial of the form 2003-16-04-00-00_files/i0030000.jpg is to find two numbers, m and n, such that m + n = b and _____

C. 2003-16-04-00-00_files/i0030003.jpg

Factor. 2003-16-04-00-00_files/i0220000.jpg

C. 2003-16-04-00-00_files/i0220003.jpg

The length of a side of a rectangle is 2 units less than a number, and the width is 4 units more than the length. Which of the following expressions represents the area of the rectangle, in square units?

C. 2003-16-05-00-00_files/i0220002.jpg

Which of the following value pairs can be used as m and n to factor the expression 2003-16-04-00-00_files/i0100000.jpg?

C. 3, -15

When factoring a trinomial of the form ax2 + bx + c where a and b are both positive and c is negative, you need to find two numbers, m and n, such that ax2 + bx + c = ax2 + mx + nx + c and _

C. m is positive, n is negative, and 2003-16-04-00-00_files/i0060001.jpg

What is the greatest common factor of 54 and 72?

D. 18

Factor the polynomial. Multiply the factors to check your answer. 2003-16-02-00-00_files/i0230000.jpg

D. 2003-16-02-00-00_files/i0230004.jpg

Determine which polynomial has (x - 9) as a factor.

D. 2003-16-03-00-00_files/i0220003.jpg

Factor the polynomial below. 2003-16-06-00-00_files/i0190000.jpg

D. 2003-16-06-00-00_files/i0190003.jpg

Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not. 2003-16-05-00-00_files/i0280000.jpg

D. The polynomial may be factored into a perfect square.

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.

D. cannot be factored into a square term

Which of the following strategies is appropriate for factoring polynomials with 4 terms?

D. determine if it can be factored by grouping

When factoring a trinomial of the form ax2 + bx + c where a is positive and b and c are both negative, you need to find two numbers, m and n, such that ax2 + bx + c = ax2 + mx + nx + c and __________

D. m is positive, n is negative, and 2003-16-04-00-00_files/i0070002.jpg

Frank is trying to factor 2003-16-03-00-00_files/i0240000.jpg. He has determined that one factor is (y + 9). What is the other factor?

D. y - 3