What is the remainder r when the polynomial p(x) is divided by (x - 2)? is (x - 2) a factor of p(x)? p(x) = -4x4 + 6x3 + 8x2 - 6x - 4 a) r = 0, no b) r = 0, yes c) r = -72, no d) r = -72, yes

B

(x-2) is a factor since remainder is 0.

Step-by-step explanation:

We divide (x-2) into the polynomial through long division or synthetic. We choose long division and look for what will multiply with (x-2) to make the polynomial .

We subtract this from the original .

This leaves . We repeat the step above.

.

We subtract this from . We repeat the step above.

.

We subtract this from . We repeat the step above.

.

We subtract this from . There is no remainder. This means (x-2) is a factor.

12cm

the answer is d

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: