Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial. x - 2; 4x2 - 3x + 22

is not a factor of .

Step-by-step explanation:

According to the factor theorem, if is a factor of , then .

Let . If   is a factor of , then .

Let us plug in in to the function to see if it will give us zero.

We simplify to obtain,

Since  , is not a factor of .

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.