Factor 3x^2-10x+3

Problem

3*x2−10*x+3

Solution

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

2. Find two numbers that multiply to a⋅c=3⋅3=9 and add to b=−10

3. Determine the pair of numbers, which are −9 and −1

4. Rewrite the middle term −10*x using the two numbers found: 3*x2−9*x−x+3

5. Factor by grouping the first two terms and the last two terms: 3*x*(x−3)−1*(x−3)

6. Factor out the common binomial (x−3) to obtain the final factored form.

Final Answer

3*x2−10*x+3=(3*x−1)*(x−3)

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