SOLUTION: USE Rational Zeros Theorem to create a list of possible rational zeros for : x^3+2x^2-13x+10 Using list from above and synethetic division determine the zeros of x^3+2x2-13x+1

Question 193519: USE Rational Zeros Theorem to create a list of possible rational zeros for :
x^3+2x^2-13x+10
Using list from above and synethetic division determine the zeros of x^3+2x2-13x+10
Write P(x) = x^3+2x^2-13x+10 as a product.
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
x^3+2x^2-13x+10
factor is 1st or last terms might be ,,,(p/q),,,,+/-(1/1,10/1,2/1,5/1)
using synthetic division (pls ignore commas,, used for spacing)
1| 1,,,,,,+2,,,,,,-13,,,,,,10
,,,,,,,,,,,,,,,1,,,,,,,,,,,3,,,,,-10
___________________________
,,,,,,1,,,,,,,3,,,,,,,,-10,,,,,,0,,,,,,,,(no remainder,therefore x=1 is zero,(x-1) is factor)
quotient is 1x^2+3x-10
factoring,,,(x+5)(x-2)
therefore total factors are
(x-1)(x+5)(x-2)
check by distributing
(x+5) (x-2)(x-1)
(x+5) (x^2-3x+2)
x^3-3x^2+2x+5x^2-15x+10
x^3 +2x^2-13x +10 ,,,,ok
RELATED QUESTIONS
Use the Rational Zeros Theorem to list possible rational zeros for P(X) = 4X^4 - 3X^3 +... (answered by stanbon)

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the... (answered by richwmiller)

Given f(x)=x^3+2x^2-13x+10, (a) list all possible rational zeros, (b) find all rational... (answered by DrBeeee)

List the possible rational zeros of f using the rational zero theorem. f(x) = x^3 +... (answered by richard1234)

Use the Rational Zero Theorem to list possible rational zeros for the polynomial... (answered by fractalier)

Using the rational zeros theorem, list all possible rational zeros for the given... (answered by ReadingBoosters)

Use the rational zero theorem to list all possible rational zeros for the given function. (answered by Fombitz)

8) Use the Rational Zero Theorem to list all possible rational zeros for the given... (answered by MathLover1)