# Algebra 2!!!!

Use the graph to shorten the list of possible rational zeros of the function. Then find all real zeros of the function.

1.) f(x)= 4x^3-8x^2-15x+9

4.) f(x)= 2x^3-5x^2-4x+10

1. 👍 0
2. 👎 0
3. 👁 1,022
1. who knows how to do this?

1. 👍 0
2. 👎 0
2. checking the graphs at wolframalpha.com,

http://www.wolframalpha.com/input/?i=4x^3-8x^2-15x%2B9

http://www.wolframalpha.com/input/?i=2x^3-5x^2-4x%2B10

it is clear that
#1 has a root at x = 3
#2 has a root at x = 5/2

So, divide through and you can use the quadratic formula to find the other roots.

1. 👍 0
2. 👎 0
3. the answer is wherever the graph hits the x axis.
1. -3/4, 1/2, 3
2. -3/2, 3/2, 5/2

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Alegbra 2

Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

2. ### Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros

3. ### PreCalculus

Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. Find the other zero( s): -1, radical 3, 11/3

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 3, and 1 –2i as zeros. Find the remaining zero. A. –2 B. –1 – 2i C. 0 D. 1 + 2i

1. ### Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 3-i,sqrt2 f(x)=??

2. ### Math

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. -2x^4+4x^3+3x^2+18

3. ### math

Describe a method you can use to shorten the list of possible rational zeros when using the rational zero theorem? I know how to do the problems, I just don't know how to shorten that method. Please help me.

4. ### algebra

Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with

1. ### Algebra

Use the Rational Zero Theorem to list all the possible rational zeros of f(x) = 2x^4 + 3x^3 - 9x^2 + 3x + 10 DO NOT attempt to find the zeros.

2. ### rational zeros theorem

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=25x^4+26x^3+126x^2+130x+5 Find the real zeros x= Use the real zeros to factor f f(x)=

3. ### Algebra- is my answer right

Use the rational zeros theorem to list all possible rational zeros of the following. -2x^3-x^2-4x-5 I got +-1,+-5+-,5/2,+-1/2 Be sure that no value in your list appears more than once.

4. ### algebra 2

help please!! state the possible rational zeros for each function. then find all zeros. y=x^3-13x^2-x+13 show all the step please .thanks