Factoring

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 2x² – 19x +45 ft². What are the dimensions of the rectangle?  

• (2x - 9)(x - 5)
• (2x + 9)(x + 5)
• (2x - 5)(x - 9)
• (2x - 5)(x + 9)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

If a trinomial, ax² + bx + c, has a negative "c" value, what do you know about the signs in its binomial factors.

• The signs are both +. 
• The signs are one + and one -
• The signs are both -

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

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

Tags

CCSS.HSA.SSE.A.2

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor completely.
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

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