(1) is 3x^2+11z+10=0 quadratic? (2) is x+1/x=4 quadratic?
(3) is x-5/x=x^2 quadratic?
(4) is 2x^2−√5x+7=0 quadratic?
(5) is x^2−√x−5=0 quadratic?
(6) is x^2−3x=0 quadratic?
(7) is x^2+1/x^2=3 quadratic?
(8) is x(x+1)−(x+2)(x−2)=−8 quadratic?

b

step-by-step explanation:

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!