Q. Factor as the product of two binomials. x2+11x+18
Identify Coefficients: Identify the coefficients of the quadratic expression.The quadratic expression is x2+11x+18. Here, the coefficient of x2(a) is 1, the coefficient of x(b) is 11, and the constant term (c) is 18.
Find Multiplying Numbers: Find two numbers that multiply to the constant term c and add up to the coefficient of x (b).We need to find two numbers that multiply to 18 and add up to 11. The numbers 2 and 9 satisfy these conditions because 2×9=18 and 2+9=11.
Write Factored Form: Write the factored form using the two numbers found in the previous step.The factored form of the quadratic expression is (x+2)(x+9), since these binomials multiply to give the original quadratic expression.
More problems from Factor quadratics with leading coefficient 1