Question

What is the factor of x^2 + 2x - 3

Answer 1

(x + 3)(x - 1)

Explanation:

Given

x² + 2x - 3

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) ← in factored form

Answer 2

Question:-

What is the factor of x² + 2x - 3

Solution:-

x² + 2x - 3

`\rightarrow` x² + 3x - x - 3 = 0

`\rightarrow` x(x + 3) -1(x + 3) = 0

`\rightarrow` (x + 3) (x - 1) = 0

`\therefore` Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1

So, x = -3 and 1

The factor of x² + 2x - 3 is -3 and 1. [Answer]