How to Factor 3x^2-x-10

Solution

( − 2)(3 + 5)

Step-by-step solution:

Use the sum-product pattern

3x^2−−10

3^2+5−6x−10

Common factor from the two pairs

3^2+5−6−10

(3+5)−2(3+5)

Rewrite in factored form

(3+5)−2(3+5)

(−2)(3+5

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see attached graph

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1