Step one is to factor a gcf. − 75 2 + 75. − 25 = 2) 4 − 100 = 3) 4 − 49 = 4) 2 − 16 = 5) 3 + 6. Web factor each completely using the difference of squares pattern. Factor a trinomial, if possible.

So, 3x3 + 6x2 − 18x = 3x(x2 + 2x − 6). 1) x3 − 5x2 − x + 5 2) x4 − 2x2 − 15 3) x6. Web to factor by greatest common monomial factor, find the greatest common monomial factor among the terms of the expression and then factor it out of each term. Multiply together to get 4.

Factor a trinomial, if possible. Web factoring by grouping date_____ period____ factor each completely. + 180 = 9) 6.

1) b2 + 8b + 7 (b + 7)(b + 1) 2) n2 − 11 n + 10 (n − 10)(n − 1) 3) m2 + m − 90 (m − 9)(m + 10) 4) n2 + 4n − 12 (n − 2)(n + 6) 5) n2 − 10 n + 9 (n − 1)(n − 9) 6) b2 + 16 b + 64 (b + 8)2 7) m2 + 2m − 24 (m + 6)(m − 4) 8) x2 − 4x + 24 not factorable. Web factoring by grouping date_____ period____ factor each completely. = 7) 3 + 7. Create your own worksheets like this one with infinite algebra 2. So, 3x3 + 6x2 − 18x = 3x(x2 + 2x − 6).

1) b2 + 8b + 7 (b + 7)(b + 1) 2) n2 − 11 n + 10 (n − 10)(n − 1) 3) m2 + m − 90 (m − 9)(m + 10) 4) n2 + 4n − 12 (n − 2)(n + 6) 5) n2 − 10 n + 9 (n − 1)(n − 9) 6) b2 + 16 b + 64 (b + 8)2 7) m2 + 2m − 24 (m + 6)(m − 4) 8) x2 − 4x + 24 not factorable. Worksheet by kuta software llc. + 48 4 − 8 = 5) 70.

+ 80 = 4) 32.

It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. Web factor each expression completely. + 42 = 8) 6. − 150 = 10) 2 3 − 4.

+ 4 = 2) 7.

Free trial available at kutasoftware.com. Greatest common monomial factor 1. 9) 9 + 18v + 27v2. − 25 = 2) 4 − 100 = 3) 4 − 49 = 4) 2 − 16 = 5) 3 + 6.

1) 12 A3 − 9A2 + 4A − 3 (3A2 + 1)(4A − 3) 2) 2P3 + 5P2 + 6P + 15 (P2 + 3)(2P + 5) 3) 3N3 − 4N2 + 9N − 12 (N2 + 3)(3N − 4) 4) 12 N3 + 4N2 + 3N + 1 (4N2 + 1)(3N + 1) 5) M3 − M2 + 2M − 2 (M2 + 2)(M − 1) 6) 5N3 − 10 N2 + 3N − 6 (5N2 + 3)(N − 2) 7) 35 Xy −.

___________ factoring special case polynomials. 2 = 10 10) 2 + 100. Use gcf, magic x, grouping, or difference of squares. Web to factor by greatest common monomial factor, find the greatest common monomial factor among the terms of the expression and then factor it out of each term.

Web Factoring Practice Key I.

Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: Step one is to factor a gcf. We will be going through 100 factoring problems. Factor a gcf from the expression, if possible.

= x^2(x + 3)(x + 4) + 25 = 4 13) 2 − 25 = 16 14) 2 − 9 = 1) 8x2 + 8xy + 32x + 32y a) 8(y + x)(y + 4) y)(x + 4) b) 8(x + y)(x +. Step one is to factor a gcf. 1) 12 a3 − 9a2 + 4a − 3 (3a2 + 1)(4a − 3) 2) 2p3 + 5p2 + 6p + 15 (p2 + 3)(2p + 5) 3) 3n3 − 4n2 + 9n − 12 (n2 + 3)(3n − 4) 4) 12 n3 + 4n2 + 3n + 1 (4n2 + 1)(3n + 1) 5) m3 − m2 + 2m − 2 (m2 + 2)(m − 1) 6) 5n3 − 10 n2 + 3n − 6 (5n2 + 3)(n − 2) 7) 35 xy −.