Factor the following expression into two binomials

Question

13p²⁺8p-5

Answer 1

When factoring a polynomial into two binomials, we are using the FOIL method.

 

The factors will be in the general form  (p + q) (p + r).

 

q and r  are the numbers that we need to find.

 

When q and r are multiplied together, it gives you the product of the last term of the polynomial.

When q and r are added together, it gives you the sum of the middle term of the polynomial.

 

The first terms will be factored as   (13p + q)(p + r)

 

We pick numbers q and r that will satisfy all terms of the polynomial.

 

 

The only factors of 5 are 1 and 5.

 

So the factor will be   (13p - 5)(p + 1)