Multiplying Polynomials and Simplifying Expressions Answers

Use the chart to multiply the binomial by the trinomial.

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

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?

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.

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

Use the chart to multiply the binomial by the trinomial.

What is the product of a+3 and −2a2+15a+6b2?

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.The term –2(x – 2)2 is simplified by first squaring the expression x – 2.The simplified product is a binomial.After multiplying, the like terms are combined by adding and subtracting.The parentheses are eliminated through multiplication.The final simplified product is –28x2 +8x – 8.

Chin made an error in his chart showing the multiplication of the binomial by the trinomial.

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?