How do you factor this binomial x2 plus 4x-45?

Answer 1

One minor correction on your question here - it's not a binomial. A binomial is a polynomial with two terms. This one - having three terms, is a trinomial.

To factor it, you need to find two numbers that multiply to make -45 (the last term), and add to make 4 (the coefficient of the middle term). Once you have those numbers, you can break the equation down. In this case the numbers we need are 9 and -5. Here's how it's done:

x2 + 4x - 45

= x2 - 5x + 9x - 45

= x(x - 5) + 9(x - 5)

= (x + 9)(x - 5)

Answer 2

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