Which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1

Polynomial : 2 (x+4) (x+4) (x+4) (x+4)(x - 10) .

Step-by-step explanation:

Given : leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1.

To find : Which polynomial function.

Solution : We have given that

a polynomial has leading coefficient 2 and root -4 with multiplicity 3

Then (x +4) (x+4)  (x+4)  (x+4)

Another root 10 with multiplicity 1

(x - 10)

Then polynomial : 2 (x+4) (x+4) (x+4) (x+4)(x - 10) .

Therefore,Polynomial : 2 (x+4) (x+4) (x+4) (x+4)(x - 10) .

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|