Grade 10 Factoring & Equations

Factor completely: 3x² - 36x + 96

• (x-4)(x-8)

• 3(x-4)(x-8)

• 3(x+1)(x+32)

• 3(x-2)(x+16)

Factor completely: 2x² + 22x + 60

• (2x+10)(x+6)

• (x+5)(x+6)

• 2(x+1)(x+30)

• 2(x+5)(x+6)

Factor completely: x² - 6x + 8

• (x-2)(x-4)

• (x-1)(x-8)

• (x+2)(x+4)

• (x+1)(x+8)

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

Tags

CCSS.HSA.APR.C.4

A rectangle has an area of 4x² +19x + 12 and a length of (x + 4). What is the width?

• 4x - 3
• 4x + 3
• 2x + 6
• 2x + 3

Tags

CCSS.HSA.APR.D.6

If a trinomial, ax² +or- bx + c, has a positive "c" value, what do you know about the signs in its binomial factors?

• Both signs are positive.
• Both signs are negative. 
• One sign is positive and one is negative.
• The signs are the same, both + or both -

Tags

CCSS.HSA.APR.C.4

What are the factors of
25x² - 81?

• (5x - 9)(5x + 9)
• (5x - 9)(5x - 9)
• (5x + 9)(5x + 9)
• Cannot be factored

Tags

CCSS.HSA.APR.C.4

Factor 4b⁵ + 4b³ + 16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor fully:

3x³ - x² + 6x - 2

• (x²+2)(3x+1)

• (x²+2)(3x-1)

• (3x³+6x)(x²-2)

• none of the aboe