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Section 1.5 : Factoring Polynomials
For problems 1 – 4 factor out the greatest common factor from each polynomial.
- \(6{x^7} + 3{x^4} - 9{x^3}\) Solution
- \({a^3}{b^8} - 7{a^{10}}{b^4} + 2{a^5}{b^2}\) Solution
- \(2x{\left( {{x^2} + 1} \right)^3} - 16{\left( {{x^2} + 1} \right)^5}\) Solution
- \({x^2}\left( {2 - 6x} \right) + 4x\left( {4 - 12x} \right)\) Solution
For problems 5 & 6 factor each of the following by grouping.
For problems 7 – 15 factor each of the following.
- \({x^2} - 2x - 8\) Solution
- \({z^2} - 10z + 21\) Solution
- \({y^2} + 16y + 60\) Solution
- \(5{x^2} + 14x - 3\) Solution
- \(6{t^2} - 19t - 7\) Solution
- \(4{z^2} + 19z + 12\) Solution
- \({x^2} + 14x + 49\) Solution
- \(4{w^2} - 25\) Solution
- \(81{x^2} - 36x + 4\) Solution
For problems 16 – 18 factor each of the following.