Special Case Polynomials
What is the factored form of (a2-b2)
(a-b)(a+b)
What is the prime factorization for 18?
2*3*3
Factor the polynomial: -12ab3+20b
4b(-3ab2+5)
Factor the polynomial: g2+2g-48
(g+8)(g-6)
Factor the polynomial: 2x2+13x+15
(x+5)(2x+3)
What is the format for the factors of: (a2-2ab+b2)
(a-b)(a-b) or (a-b)2
What is the GCF for 16 and 20?
4
Factor the polynomial: 16x6y+16x2y4+32x3y2
16x2y(x4+y3+2xy)
Factor the polynomial: x2-4x-32
(x-8)(x+4)
Factor the polynomial: 3x2+10x+8
(x+2)(3x+4)
Is 36x2-24x+16 a perfect square trinomial?
no, 24 does not equal 2ab = (6x)*2*4 = 48x
What is the GCF for -8d3 and 14d4?
2d3
Factor the polynomial: 9m2(m+7)+5(m+7)
(9m2+5)(m+7)
Factor the polynomial: p2-2p-8
(p-4)(p+2)
Factor the polynomial: -5x2+25x-20
-5(x-4)(x-1)
Factor the polynomial: 9x2-12x+4
(3x+2)2
What is the prime factorization of 144?
24*32
Factor the polynomial: 3x3-12x2+20-5x
(x-4)(3x2-5)
Factor the polynomial: q2-3q-18
(q-6)(q+3)
Factor the polynomial: 4x2+11x+7
(x+1)(4x+7)
Factor the polynomial: 16p4-100q2
(4p2-10q)(4p2+10q)
What is the GCF of -27m8n4 and 3m6n?
3m6n
The area of a hallway rug is (3/2)x2+(1/2)x ft2. Factor this polynomial to find expressions for the dimensions of the rug.
((1/2)x)(x-1)
Factor the polynomial: b2+11b-42
(b+14)(b-3)
Factor the polynomial: -2x2+24x+26
-2(x-13)(x+1)