Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor as the product of two binomials. x2+11x+18 x^2+11x+18

Full solution

Q. Factor as the product of two binomials. x2+11x+18 x^2+11x+18
  1. Identify Coefficients: Identify the coefficients of the quadratic expression.\newlineThe quadratic expression is x2+11x+18x^2 + 11x + 18. Here, the coefficient of x2x^2 (a)(a) is 11, the coefficient of xx (b)(b) is 1111, and the constant term (c)(c) is 1818.
  2. Find Multiplying Numbers: Find two numbers that multiply to the constant term cc and add up to the coefficient of xx (bb).\newlineWe need to find two numbers that multiply to 1818 and add up to 1111. The numbers 22 and 99 satisfy these conditions because 2×9=182 \times 9 = 18 and 2+9=112 + 9 = 11.
  3. Write Factored Form: Write the factored form using the two numbers found in the previous step.\newlineThe factored form of the quadratic expression is (x+2)(x+9)(x + 2)(x + 9), since these binomials multiply to give the original quadratic expression.