Factoring Polynomials

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.SSE.A.2

CCSS.HSA.APR.A.1

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

To factor x²+13x+42, think of two numbers whose (blank) is 42 and whose (blank) is 13. 

• product, sum
• sum, product
• You guess until it is right

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Classify by degree of polynomial:
2x – 9

• Constant
• Linear
• Quadratic
• Cubic

Tags

CCSS.HSA.APR.A.1

Factor
k²+7x+10

• (k+2)(k+5)
• (k-2)(k-5)
• (k+10)(k+4)
• (k+2)(k-5)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
n² + 16n + 63

• (n-7)(n+4)
• (n+7)(n-9)
• (n-3)(n-10)
• (n+7)(n+9)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
k² -2k - 24

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
3v² - 4v - 7

• (3v-7)(v+1)
• 3(v-7)(v-1)
• (3v+1)(v-9)
• (3v+1)(v-10)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
n²-13n+40

• (n-5)(n-8)
• (n+5)(n-8)
• (n-5)(n+8)
• (n+6)(n+1)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.APR.B.3