The area of a rectangle is greater than 10. what is a reasonable domain for the shorter side of the rectangle?

It cannot be smaller than 0, since then the rectangle would turn into a line, so it has to be bigger than 0.

Also, this rectangle is not a square, since it would not have shorter and longer sides. but if it was a square, it would have a side of . But it has to be shorter than this.

So the answer is: (x is the lenght of the shorter side);
>x>0

31/6= 19/6 19/6 *1/7=19/42

Hello!

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

why?

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!