Practice makes perfect! Factoring Practice Practice makes perfect!

Question 1 (2x – 1)2 – 4(2x – 1) = (2x – 1)[(2x – 1) – 4] = (2x – 1)(2x – 5)

Question 2 4x4 – 16x2 + 14x3 = 2x2(2x2 – 8 + 7x) = 2x2(2x2 + 7x – 8) DNFF

Question 3 ab + 9 + 3a + 3b = ab + 3a + 3b + 9 = a(b+3) + 3(b+3) = (b+3)(a+3)

Question 4 4ab2 – 12a2b – 3bc + 9ac = 4ab(b – 3a) – 3c(b – 3a) = (b – 3a)(4ab – 3c)

Question 5 b2 – 7b + 10 P = 10, S = -7  -5, -2 = (b – 5)(b – 2)

Question 6 9x2 - 16y2 DOS = (3x – 4y)(3x + 4y)

Question 7 x3 – 13x2 + 42x = x(x2 – 13x + 42) P = 42, S = -13  -7, -6 = x(x – 7)(x – 6)

Question 8 6m2 – 13mn – 5n2 ac = -30, b = -13 -15, 2 = 6m2 + 2mn – 15mn – 5n2 = 2m(3m + n) – 5n(3m + n) = (3m + n)(2m – 5n)

Question 9 12a2 + 28ab – 24b2 = 4(3a2 + 7ab – 6b2) ac = -18, b = 7  9, -2 = 4(3a2 + 9ab – 2ab – 6b2) = 4[3a(a + 3b) – 2b(a + 3b)] = 4(a + 3b)(3a – 2b)

Question 10 4x2 + 12x + 9 PST! = (2x + 3)2