Multiplying Monomials and Binomials Assignment

Which products result in a difference of squares or a perfect square trinomial? Check all that apply. (5x + 3)(5x - 3) (7x + 4)(7x + 4) (2x + 1)(x + 2) (4x - 6)(x + 8) (x - 9)(x - 9) (-3x - 6)(-3x + 6)

1 2 5 6

Find the product of (-d + e)(4e + d). Which statements are true? Check all that apply. There are 2 terms in the product. There are 3 terms in the product. There are 4 terms in the product. The product is degree 1. The product is degree 2. The product is degree 4.

2 5

Consider the binomial multiplication represented in this table. Perform the binomial multiplication to determine the value of the letters in the table. A = B = C = Which letters from the table represent like terms?

A = -3x B = 14x C = -21 A and B

Which equals the product of (x - 3)(2x + 1)? 2x2 - 7x - 3 2x2 - 5x - 3 3x - 2 6x2

B.) 2x2 - 5x - 3

Did Cherise use algebra tiles to correctly represent the product of (x - 2)(x - 3)? No, she did not multiply the x-tiles by the negative integer tiles correctly. No, she did not multiply the negative integer tiles by the other negative integer tiles correctly. No, she did not add the terms together correctly. Yes, the product is x2 - 5x - 6.

B.) No, she did not multiply the negative integer tiles by the other negative integer tiles correctly.

What is the product of 3x(x2 + 4)? x2 + 3x + 4 3x3 + 4 3x3 + 12x 3x2 + 12x

C.) 3x3 + 12x

What is the product of the binomials (4a - 1) and (2b + 3)? 18ab - 3 8a2b2 + 10ab - 3 6ab + 7a - 2b - 3 8ab + 12a - 2b - 3

D.) 8ab + 12a - 2b - 3

Josephine has a rectangular garden with an area of 2x2 + x - 6 square feet. Which expressions can represent the length and width of the garden? length = x2 - 3 feet; width = 2 feet length = 2x + 3 feet; width = x - 2 feet length = 2x + 2 feet; width = x - 3 feet length = 2x - 3 feet; width = x + 2 feet

D.) length = 2x - 3 feet; width = x + 2 feet

Louise completed the work shown below. (5x3+ 3)2= (5x3)2+ (3)2= 25x6+ 9 Determine if Louise's answer is correct. Explain.

Louise's answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.