Question

Select the two values of x that are roots of the given polynomial below. 2x^2 + 7x + 6

Answer 1

The two roots are;

`x=-2,x=-(3)/(2)`

Explanation:

The given polynomial is;

`2x^2+7x+6`

To find the roots of this polynomial; we set the function to zero

`2x^2+7x+6=0`

We split the middle term to obtain;

`2x^2+4x+3x+6=0`

Factor by grouping;

`2x(x+2)+3(x+2)=0`

`(x+2)(2x+3)=0`

Use the zero product property;

`(x+2)=0,(2x+3)=0`

The two roots are;

`x=-2,x=-(3)/(2)`