Factor 8x^2+18x+9

Problem

8*x2+18*x+9

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=8 b=18 and c=9

2. Find two numbers that multiply to a*c=8⋅9=72 and add to b=18

3. Determine the pair of numbers, which are 6 and 12 since 6⋅12=72 and 6 + 12 = 18$.

4. Rewrite the middle term 18*x using the two numbers found.

8*x2+6*x+12*x+9

5. 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)+3*(4*x+3)

6. Factor out the common binomial (4*x+3)

(2*x+3)*(4*x+3)

Final Answer

8*x2+18*x+9=(2*x+3)*(4*x+3)

Want more problems? Check here!