Factoring and Distributing Polynomials

Factoring and Distributing Polynomials

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial introduces the concept of factoring polynomials, explaining it as the process of breaking down polynomials into the product of smaller factors. It contrasts this with multiplication, using the distributive principle and examples of multiplying binomials. The focus then shifts to factoring, with a promise of examples to follow.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal of factoring polynomials?

To add polynomials together

To break down polynomials into smaller factors

To divide polynomials by constants

To convert polynomials into equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical principle is used to multiply expressions like 3xy(x + 7y - 5)?

Distributive Principle

Identity Principle

Associative Principle

Commutative Principle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of distributing 3xy across the expression (x + 7y - 5)?

3x^2y + 21xy - 15xy^2

3x^2y + 21xy^2 - 15xy

3x^2y + 21xy^2 + 15xy

3xy + 21xy - 15xy

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When distributing pairs of binomials, what is the result of x times x?

x

x^2

2x

x^3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the trinomial x^2 + 7x + 12?

(x + 3)(x + 4)

(x + 2)(x + 6)

(x + 1)(x + 12)

(x + 5)(x + 2)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the reverse process of multiplying polynomials?

Adding

Subtracting

Factoring

Dividing

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