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the tables below show the values of f(x) and g(x) for different values of x:

f(x) = 2(3)x

x f(x)
−2 0.22
−1 0.67
0 2
1 6
2 18

g(x) = 3x + 1

x g(x)
−2 1.11
−1 1.33
0 2
1 4
2 10

based on the tables, what is the solution to the equation 2(3)x = 3x + 1? (4 points)

x = −1

x = 0

x = 1

x = 2

the answer is 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!