Factor completely: {5x}^(2) + 14x - 3 ​

Question

Factor completely:


`{5x}^(2) + 14x - 3`
​

Answer 1

`\Large \boxed{(5x - 1)(x + 3)}`

Explanation:

To factor the expression
`{5x}^(2) + 14x - 3`, we need to find two numbers that multiply to give the coefficient of
`{x}^(2)` (which is 5)

And add up to give the coefficient of x (which is 14).

These two numbers are 5 and 3. We can then rewrite the expression as follows:

`\boxed{{5x}^(2) + 14x - 3 = (5x - 1)(x + 3)}`.

Therefore, the factored form of the expression is
`(5x - 1)(x + 3)`