Achievement Test Reviewer: Factoring

FACTORING

G8 Achievement Test Reviewer

Factor Completely:​

Factoring by Greatest Common Monomial Factor

Multiple Select

Which of the following expressions is NOT a difference of two squares?

• $$9-b^2$$  

• $$16a^2-4x^4$$  

• $$400-100w^{20}$$  

• $$g^{12}-h^{15}$$  

Multiple Choice

The following expressions are perfect cube EXCEPT:

• $$81g^6$$  

• $$3h^3$$  

• $$8k^{12}$$  

• $$g^{30}$$  

Multiple Choice

Factor $$x^6-y^6$$  completely. Which of the following is not its factor?

• $$x-y$$  

• $$x+y$$  

• $$x^2+xy+y^2$$  

• $$x^2+xy-y^2$$  

​Factoring Type 1 and Type 2 Quadratic Trinomials

Factoring Polynomials

​Factoring Type 1 and Type 2 Quadratic Trinomials

Factoring Polynomials

Multiple Choice

Which two numbers make the product of 30 and the sum of -11?

• 10 and 3

• - 3 and -10

• 5 and 6

• -5 and -6

​Alternative way of Factoring Type 1 Quadratic Trinomial

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(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:
x² + 7x - 30

• (x + 10)(x - 7)

• (x - 10)(x + 3)

• (x + 10)(x + 3)

• (x + 10)(x - 3)

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Multiple Choice

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

​Learning Target

I can factor Type 1 and Type 2 Quadratic Trinomials.​

Factoring Polynomials

Multiple Choice

Which two numbers make the product of 30 and the sum of -11?

• 10 and 3
• - 3 and -10
• 5 and 6
• -5 and -6

​Alternative way of Factoring Type 1 Quadratic Trinomial

Multiple Choice

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(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:
 b² + 8b + 7

• (b + 4)(b + 3)
• (b + 6)(b + 1)
• (b + 7)(b +1)
• prime

Multiple Choice

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Multiple Choice

Factor
n² + 5n - 6

• (n - 2)(n - 3)
• (n - 1)(n + 6)
• (n + 1)(n - 6)
• (n + 2)(n - 3)

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)
• Not factorable
• (3a+1)(a+1)
• (3a-1)(a-1)

Multiple Choice

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)