Answer: The answer is (d) [tex](4x+7)(7x+8).[/tex]
Step-by-step explanation: Given equation to be factored is
[tex]28x^2+81x+56.[/tex]
The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.
[tex]x^2+(a+b)x+ab=(x+a)(x+b).[/tex]
So, the given equation can be factorised using the above rule. The factorisation is as follows.
[tex]28x^2+81x+56\\\\=28x^2+49x+32x+56\\\\=7x(4x+7)+8(4x+7)\\\\=(4x+7)(7x+8).[/tex]
Thus, the correct option is (d).
