Xavier and Ying are partners in a course project. Xavier is the project leader and thus is the first to decide how many hours, h Subscript Upper X, to put into the project. After observing the amount of time that Xavier contributes, Ying decides how many hours, h Subscript Upper Y, to contribute. Xavier's utility function is Upper U Subscript Upper Xequals20(h Subscript Upper X Baseline plus h Subscript Upper Y Baseline )Superscript 0.5minush Subscript Upper X, and Ying's utility function is Upper U Subscript Upper Yequals20(h Subscript Upper X Baseline plus h Subscript Upper Y Baseline )Superscript 0.5minush Subscript Upper Y. Ying threatens not to work on the project. For Ying's threat to be credibleLOADING..., what is the smallest number of hours that Xavier must contribute to the project? For Ying's threat to be credible, Xavier must work at least nothing hours on the project. (Enter a numeric response using an integer.)

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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!