Algebra I Fundamentals : Complete Factorization
Factor a3 - 3 + 3a2 - a.
(a - 1)(a + 1)(a + 3)
Factor completely. m4 - n4
(m 2 + n 2)(m + n)(m - n)
Factor completely. n4 - 1
(n 2 + 1)(n - 1)(n + 1)
Factor completely. x8 - 1/81
(x 4 + 1/9)(x 2 + 1/3 )(x 2 - 1/3 )
Factor z3 + 2z2 - 9z - 18.
(z - 3)(z + 3)(z + 2)
Which of the following is the complete factorization of 10x - 3 - 3x2?
-(3x - 1)(x - 3)
Factor -4 + 8a - 4a2.
-4(a - 1) 2
Given: -7y2 + 7y + 84. What is the greatest common factor of the polynomial?
-7
The following factors are not prime: (x2- 7x)(7x+21). What remains to be factored?
1. factor out a 7 from the second binomial 2. factor out an x from the first binomial
Factor 2x4 - 20x2 - 78.
2(x 2 + 3)(x 2 - 13)
Which of the following is the complete factorization of 25a2 - 100?
25(a - 2)(a + 2)
Factor 75t2 + 12.
3(25t 2 + 4)
Which of the following is the complete factorization of 3x2 - 6x - 240?
3(x + 8)(x - 10)
Factor 35d + 5d2 - 30.
5(d 2 + 7d - 6)
Factor 5x4 - 30x2 - 135.
5(x - 3)(x + 3)(x 2 + 3)
Factor 6y2 - 48 + 42y.
6(y + 8)(y - 1)
