Question

Use the discrimant to determine the number of real roots of M(x)= -4x^2+x+1?

Answer 1

two real different roots

Explanation:

Consider polynomial function

`M(x)=-4x^2+x+1.`

The discriminant is

`D=b^2-4ac=1^2-4\cdot (-4)\cdot 1=1+16=17.`

Since
`D>0,` the polynomial function
`M(x)` has two real different roots.