What is the factored form of the expression? 28x^2+81x+56 a. (4x+7)(7x-8) b. (4x-7)(7x+8) c. (4x-7)(7x-8) d. (4x+7)(7x+8)

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Ope · Answer 1 · 2020-01-30T11:33:52+0000

Answer: The answer is (d)

Step-by-step explanation: Given equation to be factored is

28x^2+81x+56.

The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.

x^2+(a+b)x+ab=(x+a)(x+b).

So, the given equation can be factorised using the above rule. The factorisation is as follows.

$28x^2+81x+56\\\\=28x^2+49x+32x+56\\\\=7x(4x+7)+8(4x+7)\\\\=(4x+7)(7x+8).$

Thus, the correct option is (d).