Question

Determine the factors of 5x2 + 29x _ 6

Answer 1

Answer:

The factors of given equation $5x^2+29x-6$ is  $(5x-1)(x+6)$

Step-by-step explanation:

Given equation $5x^2+29x-6$

We have to determine the factors of given equation.

Quadratic equation is an equation with  highest degree 2.

Consider the given quadratic equation $5x^2+29x-6$

We can solve the  quadratic equation $5x^2+29x-6$  using middle term splitting method.

splitting middle term can be done by writing middle term in such a way that  the product of coefficient is the product of remaining two terms.

29x can be written as 30x-1x

$\Rightarrow 5x^2+29x-6$

$\Rightarrow 5x^2+30x-x-6$

Taking 5x common from first two terms and  -1 from last two terms , we have,

$\Rightarrow 5x(x+6)-1(x+6)$

$5x^2+29x-6=(5x-1)(x+6)$

Thus,  the factors of given equation $5x^2+29x-6$ is  $(5x-1)(x+6)$

Answer 2

The answer is (x + 6)(5x - 1).

5x² + 29x - 6 = 5x² + 30x - x - 6 =
                      = (5x · x + 5x · 6) - (x + 6) =
                      = 5x(x + 6) - 1(x + 6) =
                      = (x + 6)(5x - 1)