Question 1

Which method is commonly used to multiply two binomials such as $$(x+2)(x+3)$$?

Accepted Answer

The FOIL method

Question 2

What does the acronym FOIL stand for when multiplying binomials?

Accepted Answer

First, Outer, Inner, Last

Question 3

Multiply $$(x-5)(x-12)$$ using the FOIL method. What is the result?

Accepted Answer

$$x^2 - 17x + 60$

Question 4

Which of the following is the correct expansion for $$(x+7)(x+6)$$?

Accepted Answer

$$x^2 + 13x + 42$

Question 5

When multiplying a monomial by a polynomial, such as $$x^2(x-2$$)$$, what is the result?

Accepted Answer

$$x^3$$ - $$2x^2$$

Question 6

Expand $$(x^2 - 3x)(2x + 1$$)$$ using the distributive property.

Accepted Answer

$$2x^3$$ - $$5x^2 - 3x$

Question 7

Which formula is used to multiply $$(a+b)^2$$?

Accepted Answer

$$a^2 + 2ab$$ + $$b^2$$

Question 8

What is the result of $$(x+5)^2$$ using the special product formula?

Accepted Answer

$$x^2 + 10x + 25$

Question 9

Which formula represents the difference of squares for $$(a+b)(a-b)$$?

Accepted Answer

$$a^2$$ - $$b^2$$

Question 10

Expand $$(x+3)(x-5)(2x+1) by $$first multiplying two binomials, then multiplying the result by the third factor.

Accepted Answer

$$2x^3$$ - $$5x^2 - 29x - 15$

Question 11

What is the expanded form of $$(2x+4)^3$$ using the cube formula?

Accepted Answer

$$8x^3$$ + $$48x^2 + 96x + 64$

Question 12

Which of the following is the correct expansion for $$(x-5)^2$$?

Accepted Answer

$$x^2 - 10x + 25$

Question 13

If you multiply $$(x+3)^2$$, what is the result?

Accepted Answer

$$x^2 + 6x + 9$

Question 14

Which of the following is the expanded form of $$(x^2 - 2x + 1)(x+4$$)$$?

Accepted Answer

$$x^3$$ + $$2x^2 - 7x + 4$

Question 15

What is the result of multiplying $$(5x-9)(5x+9)$$ using the difference of squares formula?

Accepted Answer

$$25x^2 - 81$

Question 16

Which formula is used to expand $$(a-b)^3$$?

Accepted Answer

$$a^3$$ - $$3a^2b$$ + $$3ab^2$$ - $$b^3$$

Question 17

Expand $$(x+5)(x+5)$$ using a special product formula.

Accepted Answer

$$x^2 + 10x + 25$

Question 18

Which of the following is the expanded form of $$(2x+4)^3$$ using the binomial cube formula?

Accepted Answer

$$8x^3$$ + $$48x^2 + 96x + 64$

Question 19

If you multiply $$(x+3)(x-5)(2x+1)$$, what is the result?

Accepted Answer

$$2x^3$$ - $$5x^2 - 29x - 15$

Multiplying Polynomials: Methods and Special Products

Study Guide - Practice Questions