QuestionAugust 27, 2025

Factor completely. 5x^2+20x-60=square Related content Factoring quadratics with a common factor Factoring completely with a common factor

Factor completely. 5x^2+20x-60=square Related content Factoring quadratics with a common factor Factoring completely with a common factor
Factor completely.
5x^2+20x-60=square 
Related content
Factoring quadratics with a common factor
Factoring completely with a common factor

Solution
4.0(207 votes)

Answer

5(x + 6)(x - 2) Explanation 1. Factor out the greatest common factor The greatest common factor of 5x^2, 20x, and -60 is 5. Factor it out: 5(x^2 + 4x - 12). 2. Factor the quadratic expression Factor x^2 + 4x - 12. Find two numbers that multiply to -12 and add to 4. These numbers are 6 and -2. So, x^2 + 4x - 12 = (x + 6)(x - 2).

Explanation

1. Factor out the greatest common factor<br /> The greatest common factor of $5x^2$, $20x$, and $-60$ is 5. Factor it out: $5(x^2 + 4x - 12)$.<br />2. Factor the quadratic expression<br /> Factor $x^2 + 4x - 12$. Find two numbers that multiply to -12 and add to 4. These numbers are 6 and -2. So, $x^2 + 4x - 12 = (x + 6)(x - 2)$.
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