question

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

answer

8y^3 + 6y^2 - 29y + 15

question

Use the chart to multiply the binomial by the trinomial.
What is the product?

answer

NOT y3 - 6y2 + 27

question

The polynomial x3 + 8 is equal to

answer

NOT (x - 2)(x2 + 2x + 4).

question

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?

answer

NOT 3x3 + x2 - 6x + 9

question

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

answer

x3 + 5x2 + 5x - 2

question

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?

answer

Step 2

question

Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form?

answer

-2p2 - 11p - 35

question

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

answer

6p3 - 23p2 + 9p + 28

question

Tomas learned that the product of the polynomials (a + b)(a2 - ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?

answer

NOT (2x + 1)(2x2 + 2x - 1)

question

What is the product of (2p + 7)(3p2 + 4p - 3)?

answer

6p3 + 29p2 + 22p - 21

question

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?

answer

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

question

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.Which simplified expression represents the area of the parallelogram?

answer

NOT -4x3 - 14x + 24 square centimeters

question

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?

answer

2x3 + 5x2 - x - 6

question

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?

answer

The expression 6x should be 6x2.

question

Use the chart to multiply the binomial by the trinomial. (y+3)(Y^2-3Y+9)

answer

NOT y3 + 6y2 + 27

question

What is the product?
(x ā 3)(2x2 ā 5x + 1)

answer

2x3 ā 11x2 + 16x ā 3