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Factoring
Synthetic Division, Factoring Polynomials and Roots
100
Factor b^2 – 17b - 18
(b +1)(b – 18)
100
Divde x^3 +3x^2 – 34x + 48 with x-3. What is the result?
x^2 + 6x - 16
200
Factor 9x^2 – 12x + 4:
(3x - 2)(3x – 2)
200
What is the complete Factorization of the previous problem? Remember: (x^3 +3x^2 – 34x + 48)/x-3 = x^2 + 6x - 16
(x-3)(x+8)(x-2)
300
Factor 8ax^2 + 14ax – 15a. (Hint: First find the GCF)
a(4x – 3)(2x+5)
300
The following polynomial function factors into: 3x^3 – 16x^2 + 3x + 10 = (x-5)(3x +2)(x-1).l What are the roots of the polynomial?
Roots: 5, -2/3, 1