

Factoring Polynomials
Presentation
•
Mathematics
•
8th - 10th Grade
•
Hard
Marie de los Reyes
Used 9+ times
FREE Resource
3 Slides • 10 Questions
1
Factoring Polynomials

2
Factor the following polynomials completely.
3
Techniques in Factoring Polynomials
First, factor out the greatest common factor (GCF) from all of the terms.
The other factoring techniques depend on how many terms there are.
If there are two terms, use the Difference of Two Squares pattern or Sum or Difference of Cubes.
If there are three terms in which the first and third terms are squares of numbers or expressions, it may be a perfect square trinomial.
If there are three terms but it's not a perfect square trinomial, use factoring general trinomial
If there are four terms, factor by grouping (The Grouping Method).
Warning: To factor a polynomial completely, we frequently have to apply more than one technique. After factoring by any method, always take a close look at each of your factors to see if any of them can factored.
4
Multiple Choice
35a5b5−105a6b4−7a4b3
7a3b4(5a2b − 15a2b−1)
PRIME
7a4b3((5ab−15a2b−1))
5
Multiple Choice
4m2n2+25h2n2+4m2+25h2
(4m2+25h2)(n2+1)
Prime Polynomial
(2m+5h)(2m−5h)(n+1)(n−1)
6
Multiple Choice
PRIME POLYNOMIAL
7
Multiple Choice
24k2−54m3
6(4k2−9m3)
PRIME POLYNOMIAL
6m(2k+3m)(2k−3m)
8
Multiple Choice
3x2a−75y2b
PRIME POLYNOMIAL
3(xa−5yb)(xa+5yb)
3(x2a−25y2b)
9
Multiple Choice
12k+60k2+75k3
PRIME POLYNOMIAL
3k(4+20k+25k2)
3k(2+5k)2
10
Multiple Choice
11x2−85xy−24y2
(11x+3y)(x−8y)
PRIME POLYNOMIAL
(11x−8y)(x+3y)
11
Multiple Choice
8w3−x12
PRIME POLYNOMIAL
(2w−x4)(4w2+2wx4+x8)
(2w − x6)(4w2+2wx6+x8)
12
Multiple Choice
x3−8y3−6y2+3xy
(x+2y)(x2−2xy+y2+3y)
PRIME POLYNOMIAL
(x−2y)(x2+2xy+4y2+3y)
13
Multiple Choice
2x5−486
2(x−y)(x4+81x3+27x2+9x+3)
Prime Polynomial
2(x−3)(x4−3x3+9x2+27x+81)
Factoring Polynomials

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