# What is a factor of 6x^{2} + x - 7?

**Solution:**

The factors of any quadratic equation can be found by factorization method

The factorization means multiply the coefficient of x^{2} with constant term

**⇒ x ^{2} coefficient is 6 and constant term is -7,on multiplying -42.**

Now need to find the factors of - 42 such that the sum is 1

⇒ The factors are +7 and -6 so that the product is - 42 and sum is +1

**According to this x term needs to be rearranged.**

⇒ 6x^{2} +7x − 6x - 7 = 0

**Separating common terms as underlined**

⇒x ( 6x + 7) - 1 ( 6x + 7) = 0

**Again 6x + 7 is common term and on separating**

⇒ (x - 1) (6x + 7) = 0

**⇒ x = 1 and x = -7 / 6.**

**Hence, the values of x are 1 and -7 / 6.**

## What is a factor of 6x^{2} + x - 7 ?

**Summary: **

The factors of 6x^{2} + x - 7 are 1 and (-7 / 6)