Question

Find a cubic function with the given zeros.
-6, 7, -4
@jim_thompson5910 @dan815 @amistre64 @e.mccormick @kainui @sleepyjess @robtobey @eclipsedstar @precal

Answer 1

p(x)=(x+6)(x-7)(x+4)

Answer 2

recall (x-r) is your factor
if you know that x=-3 then your factor form is (x+3)

Answer 3

okay so what do i do next @precal

Answer 4

well that is your answer unless they want you to expand it

Answer 5

f(x) = x3 + 3x2 + 46x - 168
f(x) = x3 + 3x2 - 46x + 168
f(x) = x3 - 3x2 - 46x - 168
f(x) = x3 + 3x2 - 46x - 168

these are my options @precal

Answer 6

expand it out

Answer 7

you can do it

Answer 8

i honestly cant figure it out @precal

Answer 9

did you not learn to expand binomials?

Answer 10

no @precal

Answer 11

(x+1)(x+4)

Answer 12

It is multiplication. That is it.

Know how to FOIL a pair of binomials?

Answer 13

FOIL
First Outer Inner Last

Answer 14

all you do is distribute x to (X+4)
then distribute 1 to (x+4)
then combine like terms

Answer 15

so its x^2+5x+4 right? @precal

Answer 16

yes now pick two of the three I gave you before and do the same, I will check your solution

Answer 17

like solve (x+6)(x-7)? @precal

Answer 18

yes you can do it, I will check your solution

Answer 19

is this the answer? f(x) = x3 + 3x2 - 46x + 168 @precal

Answer 20

Let's do it one step at a time what did you get for (x+6)(x-7)

Answer 21

x^2-x-42 @precal

Answer 22

yes
now expand
(x+4)(x^2-x-42)
remember distribute x to (x^2-x-42)
and then distribute 4 to (x^2-x-42)
collect like terms

Answer 23

x^3+3x^2-46x-168 @precal

Answer 24

you got it !!!! GOOD JOB

Answer 25

did you understand the process?

Answer 26

can you help me with another one? @precal

Answer 27

ok what do you have?

Answer 28

State the domain of the rational function.
f(x) = 12/13-x
@precal

Answer 29

Easy the domain is all real numbers except 13 because 13 creates a zero in the denominator. Recall N/0 for no zero on the bottom
Recall O/K Ok to have a zero on the top

Answer 30

one more? @precal

Answer 31

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

7, -11, and 2 + 8i

f(x) = x4 - 9x3 - 56x2 + 290x - 5236
f(x) = x4 - 9x3 + 56x2 - 290x + 5236
f(x) = x4 - 145x2 + 580x - 5236
f(x) = x4 - 25x2 + 580x - 5236
these are my options @precal

Answer 32

ok just doing my calculus homework

Answer 33

sorry gotta distracted

Answer 34

(x-7)(x+11)(x-(2+8i))(x+(2+8i))

Answer 35

you need to multiply out the (x-(2+8i))(x+(2+8i)) first
recall i^2 is -1