Factor 8x^2-10x+3

Problem

8*x2−10*x+3

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=8 b=−10 and c=3

2. Find two numbers that multiply to a⋅c=8⋅3=24 and add to b=−10 These numbers are −6 and −4

3. Rewrite the middle term −10*x using the two numbers found in the previous step.

8*x2−6*x−4*x+3

4. Factor by grouping by taking the greatest common factor out of the first two terms and the last two terms.

2*x*(4*x−3)−1*(4*x−3)

5. Factor out the common binomial (4*x−3)

(2*x−1)*(4*x−3)

Final Answer

8*x2−10*x+3=(2*x−1)*(4*x−3)

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