Multiplying Polynomials and Simplifying Expressions Pre-Test

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?

B. 6y^3 + 17y^2 + 22y + 15

Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x - 3)(5x2 - 2x + 7). In which step did Fiona make an error?

B. Step 2

What is the product of (3a + 2)(4a2 - 2a + 9)?

D. 12a^3 + 2a^2 + 23a + 18

What is the product? (4y − 3)(2y2 + 3y − 5)

D. 8y^3 + 6y^2 − 29y + 15

Simplify the expression 3x(x - 12x) + 3x2 - 2(x - 2)2. Which statements are true about the process and simplified product? Select three options.

A. The term -2(x - 2)2 is simplified by first squaring the expression x - 2 C. After multiplying, the like terms are combined by adding and subtracting D. The parentheses are eliminated through multiplication.

Chin made an error in his chart showing the multiplication of the binomial by the trinomial. Which change can be made to correct the chart?

B. The expression 6x should be 6xy.

Using the distributive property to find the product (y−4x)(y2+4y+16) results in a polynomial of the form y3+4y2+ay−4xy2−axy−64x. What is the value of a in the polynomial?

C. 16

Iliana multiplied 3p - 7 and 2p2 - 3p - 4. Her work is shown in the table. Which is the product?

C. 6p^3 - 23p^2 + 9p + 28

The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x - 3. What is AB - C2 in simplest form?

D. 3x^3 + x^2 + 6x - 9

Sharina simplified the expression 3(2x - 6 - x + 1)2 - 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent. Which is a possible next step?

D. Distribute the 3 to each term in the parentheses by multiplying.