Match the expressions given in words with their values when m = 6. 42 3 21 15 2 the difference of the product of 3 and m minus the quotient of m divided by 2 arrowRight the sum of 3 times m and 4 times m arrowRight the quotient of 6 divided by the difference of m minus 3 arrowRight the sum of m and 3 divided by the difference of m minus 3 arrowRight

Step-by-step explanation:

When m=6

(1) The difference of the product of 3 and m minus the quotient of m divided by 2

(2)The sum of 3 times m and 4 times m

3m+4m

=3(6)+4(6)

=18+24

=42

(3)The quotient of 6 divided by the difference of m minus 3

(4)The sum of m and 3 divided by the difference of m minus 3

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!