Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
2+i, 1

x³ - 5x² + 9x - 5

Step-by-step explanation:

If one root is 2 + i, other has to be 2 - i.

So at least 3 roots, minimum degree is 3

(x - 2 - i)(x - 2 + i)(x - 1)

[(x - 2)² - (i)²](x - 1)

(x² - 4x + 4 + 1)(x - 1)

(x² - 4x + 5)(x - 1)

x³ - 4x² + 5x - x² + 4x - 5

x³ - 5x² + 9x - 5

john has 55 candy left.

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: