SOLUTION: Missed the following on Chapter quiz; please help studying for exam: Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots. The polynomial

Question 69411This question is from textbook Algebra & Trigonometry with Geometry
: Missed the following on Chapter quiz; please help studying for exam:
Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3).
Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
Thanks... This question is from textbook Algebra & Trigonometry with Geometry

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find a polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
f(x)= (x+1)(x-1)(x-3)
-------------------------

The polynomial f(x) divided x-3 results in a quotient of x^2+3x-5 with a remainder of 2. Find f(3).
f(3) equals the remainder which is 2.
f(3) = 2
----------------

Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to f(x)-f(1)=0, besides x=1.
You are told that x=1 is a root or zero of f(x).
Divide f(x) by x-1 to find the other factor:
1)....1....-8....17....-9
.......1.....-7....10..|..1
COMMENT: That last number should be zero. I think you copied some part
of your problem incorrectly.
----------------------------
Cheers,
Stan H.

RELATED QUESTIONS
I need help asap with the following question on my math hw: Write a polynomial... (answered by Boreal)

Find the polynomial f(x) of degree three that has zeroes at 1, 2 and 4 such that... (answered by Edwin McCravy,stanbon)

for the following, find the function P defined by a polynomial of degree 3 with real... (answered by ewatrrr)

Help me please!!! Find the nth degree polynomial function with real coefficients... (answered by stanbon)

Hello! Find a polynomial with integer coefficients and a leading coefficient of one... (answered by solver91311,jim_thompson5910)

Hi! Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by scott8148)

Hi! Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by edjones)

Hi! Find a polynomial with integer coefficients and a leading coefficient of one that... (answered by solver91311)