Question

Factor the polynomial x2 + 18x + 81 as the product of two binomials

Answer 1

Answer:

$(x+9)^2$

Step-by-step explanation:

We have the polynomial x^2 + 18x + 81 and are being asked to factor this into two binomials.

A rule that I follow is what two numbers multiplied make c (in this case 81) and when added make b (in this case is 18).

So what two numbers when :

A. Multiplied make 81

B. Added make 18

This would be 9.

Now that we have the answer, we can put it into binomials.

(x + 9)(x + 9)

Since these are the same, we can combine it and make it into one.

$(x+9)^2$