One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.

9514 1404 393

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

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!

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