Question

If f(x) = 4x + 1 and g(x) = 3x + 2, what is f(g(x)) ?
a. 12x + 9
b. 12x + 7
c. 12x + 5
d. 12x + 3
What are the zeros of the polynomial function: f(x) = x3 - x2 - 6x ?
a. 0, -3, 2
b. 0, 3, -2
c. 0, -3, -2
d. 0, 3, 2
What are the possible number of negative zeros of f(x) = 2x7 - 2x6 + 7x5 - 7x4 - 4x3 + 4x2 ?
a. 1
b. 2 or 0
c. 4, 2, or 0
d. 7, 5, 3, or 1
What polynomial has roots of -5, 2, and 4 ?
a. x3 - x2 - 22x + 40
b. x3 + x2 - 22x - 40
c. x3 + 3x2 - 18x - 40
d. x3 - 3x2 - 18x + 40

Answer 1

Please help

Answer 2

@GabeBae

Answer 3

@j_slate233 im here to help

Answer 4

Yay! thank you so much. i have no clue what to do with these

Answer 5

meh too lazy...

Answer 6

@gabebae can you solve this one for me?
Find the polynomial f(x) that has the roots of -3, 5 of multiplicity 2. Explain how you would verify the zeros of f(x).

Answer 7

number 3 is b. 2 or 0

Answer 8

@askmelots can you try to solve the one i tagged gabe in because that ones more confusing

Answer 9

im doing that one now :)

Answer 10

Thanks!

Answer 11

A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. A polynomial in one variable (i.e., a univariate polynomial) with constant coefficients is given by
a_n x^n+...+a_2 x^2+a_1 x+a_0 .

Answer 12

So how would i use that to find the polynomial that has the roots -3, 5 of multiplicity 2?

Answer 13

@AskMeLotss

Answer 14

The general technique for solving bigger-than-quadratic polynomials is pretty straightforward, but the process can be time-consuming.

The first step is to apply the Rational Roots Test to the polynomial to get a list of values that might possibly be solutions to the polynomial equation. You can follow this up with an application of Descartes' Rule of Signs, if you like, to narrow down which possible zeroes might be best to check. Of course, if you've got a graphing calculator, it's a good idea to do a quick graph, since x-intercepts of the graph are the same as zeroes of the equation. Seeing where the graph looks like it crosses the axis can quickly narrow down your list of possible zeroes.

Answer 15

so what would the polynomial be that has the roots -3,5 and multiplicity of 2?

Answer 16

@AskMeLotss

Answer 17

im here...it just, this is too freaking confusing!

Answer 18

i know thats what i said to my teacher but she said i had to do it or i dont get credit. if you cant figure it out i can ask someone else.

Answer 19

I say you ask someone else, I tried the best i could, and your teacher is messed up XD

Answer 20

i know right haha, thanks for the other answers though

Answer 21

your welcome :(
im sorry I couldnt help you more :(

Answer 22

here have a random medal

Answer 23

im logging out now...bye bye...