Factor Completely Topic Index | Algebra Index | Regents Exam Prep Center
Topic Index | Algebra Index | Regents Exam Prep Center
For each of the following problems, factor completely:
Answer Factor out the GCF of 5: 5(c + d)
9.
Answer Factor the difference of perfect squares: (y - 0.3)(y + 0.3)
Answer Factor out the GCF of 3: 3(x² - 9) Now, factor the difference of squares binomial: 3(x - 3)(x + 3)
Answer First, factor out the GCF of g: g(g² - 1) Now, factor difference of perfect squares binomial: g(g - 1)(g + 1)
Answer First, factor out the GCF of 5: 5(a² + 3a + 2) Now, factor the trinomial: 5(a + 2) (a + 1)
Answer First, factor out GCF of a: a(x² - 18x + 77) Now, factor the trinomial: a(x - 7)(x - 11)
Answer Factor out the GCF of 3ab: 3ab(b - 2a)
12.
Answer First, factor the GCF of D²: D²(D^6 - 1) Now, factor difference of perfect squares: D²(D³ - 1)(D³ + 1)
Answer (5x³ - 11y²) (5x³ + 11y²)
Answer First, factor GCF of 4: 4(n² + 17n + 60) Now, factor the trinomial: 4(n + 5)(n + 12)
Answer First, factor out the GCF of 6: 6(x² - y²) Now, factor the difference of squares binomial: 6(x - y)(x + y)
14.
Answer First, factor the GCF of z³: z³(z² - 4z - 21) Now, factor the trinomial: z³(z - 7)(z + 3)
Answer First, factor out the GCF of 3: 3(b² + 5b + 4) Now, factor the trinomial: 3(b + 1) (b + 4)
15.
Answer First, factor the difference of perfect squares: (Y² - 9)(y² + 9) Now, factor difference of perfect squares again: (y + 3)(y - 3)(y² + 9)
Answer Factor out the GCF of m: m(1 - r)
Answer Factor GCF of 5 first: 5(x² + 4x + 4) Now, factor the perfect square trinomial: 5(x+2)²
