What are the roots of x 2 – 18x + 32 = 0?

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The roots of a quadratic are the solutions of the quadratic. Factor the quadratic and set each factor equal to 0 to find the roots. To find the factors of a quadratic, begin by finding two numbers whose product is equal to the constant of the quadratic. Of those numbers, find the pair that adds to the coefficient of the x term of the quadratic; –2 and –16 multiply to 32 and add to –18. Therefore, the factors of x 2 – 18x + 32 are (x – 2) and (x – 16). Set each factor equal to 0 and solve for x: x – 2 = 0, x = 2, and x – 16 = 0, x = 16. The roots of x 2 – 18x + 32 are 2 and 16.

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