Write the inverse of the conditional statement. Determine whether the inverse is true or false. If it is false, find a counterexample.

Independence Day in the United States is July 4.
Question 1 options:

July 4 is not Independence Day in the United States. False; it is Independence Day.

Days that are not Independence Day are not July 4. True

Days that are not Independence Day are July 4. False; July 4 is Independence Day in the United States.

Days that are not July 4 are not Independence Day in the United States. True

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!

triangle eg 7.5 × cos "a" or 7.5 × sin "b" or 6 tan"a"