Factoring a Quadratic: Leading Coefficient is 1
Factoring a quadratic where the leading coefficient is 1
Factoring Out the Greatest Common Factor
Author: Jennifer Whitfield
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Reveal Answer" to reveal the answer to the problem.
Problem: Find the greatest common factor and then factor it out.
- \(14x+4xy-8xy^2\)
- \(30x^3y-45x^2y^2+135xy^3\)
- \(3x(3x+2)^{-\frac{1}{4}} -5(2x+3)^{\frac{3}{4}}\)
- \(14x+4xy-8xy^2=2x\left(7+2y-4y^2\right)\)
- \(30x^3y-45x^2y^2+135xy^3=15xy\left(2x^2-3xy+9y^2\right)\)
- \(3x(3x+2)^{-\frac{1}{4}} -5(2x+3)^{\frac{3}{4}}=(2x+3)^{-\frac{1}{4}}(-7x-15)\)
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