Complete the sentences to explain how to factor 5x2 + 24x + 16 by grouping.

Question

5x2 + 24x + 16 = 5x2 + __ x + __x + 16

The product of these coefficients must be__.

The sum of these coefficients must be__.

Answer 1

(5)(16) = 80

Find two integers whose product is 80 and whose sum is 24.

The integers are 4 and 20.

So, 5x² + 24x + 16 = 5x² + 20x + 4x + 16 = 5x(x + 4) + 4(x + 4) = (x + 4)(5x + 4)