Factoring Bi-/Tri-Nomials

Factoring Bi-/Tri-Nomials

Week 27: Monday, 3/15

Let's Review...Polynomials

• Polynomial: an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

• Binomial: an expression with two terms

• Trinomial: an expression with three terms

Let's Review...Factoring Basics

• Factoring is finding what to multiply together to get an expression.

• It is like "splitting" an expression into a multiplication of simpler expressions.

• GCF: The The greatest (highest) number that is a factor of two (or more) other numbers.

Multiple Choice

Find the GCF of the following terms: 24, 48

• 1

• 8

• 24

• 48

Multiple Choice

Find the GCF of the following terms: 6x², 3x

• 3

• 3x

• 6x²

• 1

Multiple Choice

Find the GCF of the following terms: 2x³, 6x², 12x

• 2x

• 3x²

• 2

• x

Multiple Choice

Write in factored form.

3x + 12

• 3(x+12)

• 3x(1+4)

• 3(x+4)

• 3(x-4)

Multiple Choice

Factor the following binomial: 3x² + 6x

• 3(x + 2)

• 3x(3x² + 6x)

• Cannot be factored

• 3x(x + 2)

Multiple Choice

Factor the following binomial: 14x⁵ - 21x³

• 7x³(2x² - 3)

• Cannot be factored

• 14x(x⁴ - 21x³)

• 2x(7x⁴ - 14)

Multiple Choice

Factor completely.

14g⁵ - 21g⁷

• 7(2g⁵ - 3g⁷)

• 7g⁷(2g - 3)

• 7g⁵(2g - 3g²)

• 7g⁵(2 - 3g²)

Multiple Choice

Factor.

6x² - 4x

• 2x(3x+2)

• 2(3x+2)

• 2x(3x-2)

• 2(3x-2)

Multiple Choice

What is the GCF of 12x³ - 18x?

• 3x

• 6x

• 2x²

• 6x²

Multiple Choice

Which of the following is not equivalent to 4x³ - 16x?

• 4x(x² - 4)

• 2x(2x² - 8)

• 4(x³ - 4x)

• 2x(2x - 8)

• -4x(-x² + 4)

Multiple Choice

Factor:

x² + 2x - 24

• (x - 6)(x + 4)

• (x + 6)(x + 4)

• (x - 6)(x - 4)

• (x + 6)(x - 4)

Multiple Choice

Factor

k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Multiple Choice

Factor

n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Multiple Choice

Factor

x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)