Multiplying Polynomials and Simplifying Expressions (Pre Test)

The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4). (x - 2)(x2 + 2x + 4). (x + 2)(x2 - 2x + 8). (x - 2)(x2 + 2x + 8).

A.

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? The expression 3x3 should be 3x2. The expression 6x should be 6xy. The expression x2y should be x2y2. The expression 4y should be 4y2.

B.

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? 3x3 + 2x2 - x + 3 3x3 + 2x2 - x - 3 3x3 + x2 - 6x + 9 3x3 + x2 + 6x - 9

D.

What is the product? (4y − 3)(2y2 + 3y − 5) 8y3 + 3y + 15 8y3 − 23y + 15 8y3 − 6y2 − 17y + 15 8y3 + 6y2 − 29y + 15

D.

Iliana multiplied 3p - 7 and 2p2 - 3p - 4. Her work is shown in the table. Which is the product? 6p3 + 23p2 + 9p + 28 6p3 - 23p2 - 9p + 28 6p3 - 23p2 + 9p + 28 6p3 + 23p2 - 9p + 28

C.

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? 4 8 16 32

C.

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x - 2) and got the expression below. (2x)(x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2) Which is the simplified product? 2x3 + 6x2 - x - 6 2x3 + x2 - x - 6 2x3 + 5x2 - x - 6 2x3 - x2 - 7x - 6

C.

What is the product of a+3 and −2a2+15a+6b2? −2a3+9a2+45a+24b2 −2a3+21a2+45a+24b2 −2a3+9a2+45a+6ab2+18b2 −2a3+21a2+45a+6ab2+18b2

C.

What is the product? (x − 3)(2x2 − 5x + 1) 2x3 − x2 + 16x + 3 2x3 − 11x2 + 16x + 3 2x3 − 11x2 + 16x − 3 2x3 − x2 + 16x − 3

C.