According to the rational root theorem, which could be a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

a. 2x – 7
b. 2x + 7
c. 3x – 7
d. 3x + 7

Answer with explanation:

The given Polynomial function is

By Rational root Theorem ,factors of the above expression can be

That is , by observing at the options, the factors of the given expression could be

Substituting these four  Values one by one  in the Polynomial function

As,we have to find single factor,you will find that,

So,

is the factor of the polynomial.

Option A: 2 x -7

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step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.