The following polynomial can be factored using the techniques of this lesson x^2-18

Question

asked May 27, 2020 147k views

2 Answers

Rupal · Answer 1 · 2020-06-02T21:42:27+0000

Answer:

(x+3√(2))(x-3√(2))

Explanation:

The given expression is
x^2-18 .

The technique that can be used to factor this polynomial is the difference of two squares.

We rewrite the two expressions as;

x^2-(√(18))^2

Recall that;

a^2-b^2=(a+b)(a-b)

x^2-(√(18))^2=(x+√(18))(x-√(18))

x^2-(√(18))^2=(x+3√(2))(x-3√(2))