Question

1. factor.

x^{2}+13x + 40
type a response

1. factor.

x^{2}+13x + 36
type a response

Explanation:

Step1: Find two numbers for first - expression

For \(x^{2}+13x + 40\), we need two numbers that multiply to \(40\) and add up to \(13\). The numbers are \(5\) and \(8\) since \(5\times8 = 40\) and \(5 + 8=13\).
So \(x^{2}+13x + 40=(x + 5)(x + 8)\)

Step2: Find two numbers for second - expression

For \(x^{2}+13x + 36\), we need two numbers that multiply to \(36\) and add up to \(13\). The numbers are \(4\) and \(9\) since \(4\times9 = 36\) and \(4+9 = 13\).
So \(x^{2}+13x + 36=(x + 4)(x + 9)\)

Answer:

1. \((x + 5)(x + 8)\)
2. \((x + 4)(x + 9)\)