Question 1

Which of the following correctly represents the product $$(x + 2)(x + 4)$$ using the area (box) method?

Accepted Answer

$$x^2 + 6x + 8$

Question 2

Using the FOIL method, what is the expanded form of $$(2x + 3)(5x - 8)$$?

Accepted Answer

$$10x^2 - x - 24$

Question 3

What is the result of multiplying $$(x - 3)^2$?

Accepted Answer

$$x^2 - 6x + 9$

Question 4

Which rule is used to multiply $$(A + B)(A - B)$$?

Accepted Answer

$$(A + B)(A - B) = A^2$ - B^2$

Question 5

Multiply the monomials: $$(3x^4)(5x^2$y)$

Accepted Answer

$$15x^6y$

Question 6

If $$f(x) = 5x - 2$$ and $$g(x) = 3x + 4$$, what is $$(f + g)(x)$$?

Accepted Answer

$$8x + 2$$

Question 7

Multiply: $$(x + 5)(x - 4)$$

Accepted Answer

$$x^2 + x - 20$

Question 8

Which of the following is the correct expansion for $$(2x - 3)(3x - 5)$$?

Accepted Answer

$$6x^2 - 19x + 15$

Question 9

What is the result of multiplying $$(x + 9)(x - 9)$$?

Accepted Answer

$$x^2 - 81$

Question 10

Given $$f(x) = 5x - 2$$ and $$g(x) = 3x + 4$$, what is $$(f \cdot g)(x)$$?

Accepted Answer

$$15x^2 + 14x - 8$

Question 11

Multiply: $$5x^2y(3x$$ - $$4y^2$$)$$

Accepted Answer

$$15x^3y$$ - $$20x^2y^3$

Question 12

Which of the following is the correct expansion for $$(3x - 5)^2$?

Accepted Answer

$$9x^2 - 30x + 25$

Question 13

Multiply: $$(x + 1)(x^2$ - x + 1)$$

Accepted Answer

$$x^3 + 1$

Question 14

Which of the following is a perfect square trinomial?

Accepted Answer

$$x^2 + 6x + 9$

Question 15

Multiply: $$(4y^5)(-y^6$)$

Accepted Answer

$$-4y^{11}$$

Multiplication of Polynomials: Methods, Rules, and Applications

Study Guide - Practice Questions