Form a third degree polynomial function with real coefficients such that 8+i and 7 are zeros.

1 answer:

3 0

The zeros of the equation are 8+i and 7. however since this is a third degree polynomial, the other root missing is the conjugate of the imaginary term 8-i, which is 8 +i. We multiply then ( x- 8 - i) *( x- 7)* (x - 8 + i).The expansion is (x2 - 16x + 1 --1 ) *(x-7) = (x2 - 16x + 2 )(x-7) = x3 -7 x2 -16x2 +112 x +2x -14 = x3 -23 x2 + 114 x -14

You might be interested in

Alisha has a 15000 car loan with 6 percent interest rate that is compounded annually how much will she have paid at the end of t

svetlana [45]

A=p(1+r)^t
A=15,000×(1+0.06)^(5)
A=20,073.38

7 0

3 years ago

Which of the following number lines represents the compound inequality shown below?

OLEGan [10]

Answer:

I'm not really sure what the question might be asking or if I've been given all the information but this is how you would solve it as (-2,4] meaning any real number between these will give you a real x on the domain.

Step-by-step explanation:

$-4 < 3x + 2 \leqslant 14 \\ - 6 < 3x \leqslant 12 \\ - 2 < x \leqslant 4$

6 0

3 years ago

The rate at which a professional tennis player used carbohydrates during a strenuous workout was found to be 1.7 grams per minut

Alex787 [66]

Answer:

m=1.7

C=68 gr

Step-by-step explanation:

Function Modeling

We are given a relationship between the carbohydrates used by a professional tennis player during a strenuous workout and the time in minutes as 1.7 grams per minute. Being C the carbohydrates in grams and t the time in minutes, the model is

$C=1.7t$