Factor 7x^2+9x+2

Problem

7*x2+9*x+2

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=7 b=9 and c=2

2. Find two numbers that multiply to a⋅c=14 and add to b=9

3. Determine the pair of numbers, which are 7 and 2 since 7⋅2=14 and 7 + 2 = 9$.

4. Rewrite the middle term 9*x using the two numbers found: 7*x+2*x

7*x2+7*x+2*x+2

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

7*x*(x+1)+2*(x+1)

6. Factor out the common binomial (x+1)

(7*x+2)*(x+1)

Final Answer

7*x2+9*x+2=(7*x+2)*(x+1)

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