x^2 + 13x + 36
(x + 4)(x + 9)
The expression x^2 + 13x + 36 can be factored as (x+9)(x+4).
To see why, you can use the factoring technique known as FOIL (First, Outer, Inner, Last). Here’s how it works:
Multiply the first terms of each binomial: x * x = x^2
Multiply the outer terms of each binomial: x * 4 = 4x
Multiply the inner terms of each binomial: 9 * x = 9x
Multiply the last terms of each binomial: 9 * 4 = 36
Add up the results of the previous steps: x^2 + 4x + 9x + 36
Simplify by combining like terms: x^2 + 13x + 36
So we have the expression x^2 + 13x + 36 = (x+9)(x+4). This is an example of factoring a quadratic trinomial, which can be useful for solving equations and graphing quadratic functions.
More Answers:
Learn To Factor Quadratic Equations With – Guess And Check Method – Step By Step GuideLearn How To Factor Quadratic Expressions Using The Grouping Technique: X^2 – 5X + 6 = (X-2)(X-3)
How To Factor Perfect Square Trinomials In Math: A Complete Guide
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded