WorksheetsGcf and Factoring Polynomials
Total questions: 20
Worksheet time: 20mins
Factor the polynomial x2−4x+4 .
(a)
Factor the polynomial x2−9x+14 .
(a)
Rewrite the polynomial x2+3x−10 as a product of polynomials.
(a)
Factor the polynomial x2−6x+8 .
(a)
Factor by GCF:
10x2 + 15x - 5
25(10x3+45x-15)
5(2x3 + 3x2-x)
x(10x3+15x-5)
5(2x2+3x-1)
Factor the polynomial 12x2+16x by the greatest common factor.
4x(3x+4)
4x(3x2+4x)
2x(6x+8)
4x2(3x+4)
Factor out the GCF of the polynomial 9x3+12x2+15x
(a)
Factor the polynomial x2−5x−14 .
(a)
Rewrite the polynomial 2x2+4x−16 as a product of polynomials. FACTOR OUT GCF FIRST!!!
(a)
Factor the polynomial x2−10x+21 .
(a)
Factor the GCF out of the polynomial 24x2y+6xy+9y2
(a)
Factor the polynomial x2−8x+12 .
(a)
Rewrite the polynomial x2+4x−12 as a product of polynomials.
(a)
Factor the polynomial x2−3x−10 .
(a)
Rewrite the polynomial 2x2+18x+40 as a product of polynomials. FACTOR OUT THE GCF FIRST!!
(a)
Factor by using GCF:
3x3 + 9x2 - 15x
x(3x2 + 9x - 15)
3x(x2 + 3x - 5)
3x(x2 - 9x + 15)
x(3x2 -9x + 15)
Factor by using GCF:
4b5+4b3+16b2
4b3(b4+b2+4b)
4b3(b4+4b+5)
4(b5+b3+4b2)
4b2(b3+b+4)
Factor by using GCF: 8r3 + 16r2
4r2(2r + 4)
8r2(r + 2)
8(r3 + r2)
4(r3 + 2r2)
What is the first step when factoring polynomials?
Find the GCF
List all the terms
Make a triangle
Write the answer
Factor the GCF
39y5 + 12y4 - 3y3
3y(13y4 + 4y3 - y2)
3y3(13y2 + 4y - 1)
y3(39y2 + 12y - 3)
not factorable
