Pretest

Question 1

What is the product of A plus 3 and negative 2 A squared plus 15 A plus 6 b squared ?

Revolt · Accepted Answer

negative 2 A cubed plus 9 A squared plus 45 A plus 6 A b squared plus 18 b squared

Question 2

The polynomial x cubed plus 8 is equal to

Revolt · Accepted Answer

open paren x plus 2 close paren times open paren x squared minus 2 x plus 4 close paren .

Question 3

Using the distributive property, Marta multiplied the binomial open paren 2 x plus 3 close paren by the trinomial open paren x squared plus x minus 2 close paren and got the given expression. 2 x times open paren x squared close paren plus 2 x times x plus 2 x times negative 2 plus 3 times open paren x squared close paren plus 3 times x plus 3 times negative 2 Which is the simplified product?

Revolt · Accepted Answer

2 x cubed plus 5 x squared minus x minus 6

Question 4

The product of a binomial and a trinomial is x cubed plus 3 x squared minus x plus 2 x squared plus 6 x minus 2 Which expression is equivalent to this product after it has been fully simplified?

Revolt · Accepted Answer

x cubed plus 5 x squared plus 5 x minus 2

Question 5

Simplify the expression 3 x open paren x minus 12 x close paren plus 3 x squared minus 2 times open paren x minus 2 close paren squared Which statements are true about the process and simplified product? Choose three correct answers.

Revolt · Accepted Answer

After multiplying, the like terms are combined by adding and subtracting.; The parentheses are eliminated through multiplication.; The term negative 2 times open paren x minus 2 close paren squared is simplified by first squaring the expression x minus 2 .

Question 6

The variables cap A , cap b , and cap c represent polynomials where cap A is equal to x squared , cap b is equal to 3 x plus 2 , and cap c is equal to x minus 3 What is cap A cap b minus cap c squared in simplest form?

Revolt · Accepted Answer

3 x cubed plus x squared plus 6 x minus 9

Question 7

What is the product? open paren 4 y minus 3 close paren times open paren 2 y squared plus 3 y minus 5 close paren

Revolt · Accepted Answer

8 y cubed plus 6 y squared minus 29 y plus 15

Question 8

What is the product of open paren 3 A plus 2 close paren times open paren 4 A squared minus 2 A plus 9 close paren ?

Revolt · Accepted Answer

12 A cubed plus 2 A squared plus 23 A plus 18

Question 9

Using the distributive property to find the product open paren y minus 4 x close paren times open paren y squared plus 4 y plus 16 close paren results in a polynomial of the form y cubed plus 4 y squared plus A y minus 4 x y squared minus A x y minus 64 x What is the value of A in the polynomial?

Revolt · Accepted Answer

16

Question 10

What is the product? open paren x minus 3 close paren times open paren 2 x squared minus 5 x plus 1 close paren

Revolt · Accepted Answer

2 x cubed minus 11 x squared plus 16 x minus 3

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