Find the number of roots for the following equation. 9x5 + 12x4 – x2 + 8x + 4=0​

5 roots

Step-by-step explanation:

Given

Required

The number of roots

The degree of a polynomial represents the number of roots.

In the given equation, the degree of the polynomial is 5.

Hence, the number of roots is 5

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

is there a graph

step-by-step explanation: