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