) If (7-3)2 x 7x+4 = 77, find the value of x.

Solve for x:

56 x^2 + 4 = 77

Subtract 4 from both sides:

56 x^2 = 73

Divide both sides by 56:

x^2 = 73/56

Take the square root of both sides:

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| x = sqrt(73/14)/2 or x = -sqrt(73/14)/2

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!