algebra
posted by Pat .
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^49x^341x^2+13x+6
if more than one zero, separate with commas. Write exact values, not decimal approximations

algebra 
Reiny
I tried factors of 6 and found
f(2)=0 and f(3) =0
so after successive synthetic divisions I had the factors,
(x+2)(x3)(7x^2  2x  1)
solving (x+2)(x3)(7x^2  2x  1) = 0
x = 2, 3, or (2 ±√32)/14
= 2, 3, or (1 ± 2√2)/7
Respond to this Question
Similar Questions

Algebra
Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^32x^2+7x+6. 3)Find all … 
algebra
list all the possible rational zeros of f using the rational zero theorem. then find all the zeros of the function. 1. f(x)=x^26x+5 2. f(x)=x^3+x^210x+8 
college algebra
use rational zeros theorem to find all the real zeros in the polynomial function. use zeros to factor f over real numbers. f(x)=x^3+10x^213x22 find real zeros of f? 
college algebra
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)=x^38x^231x22 
algebra
use the rational zero theorem to list the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=2x^7x^5+8x^4+52 
Algebra
Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28 
Use the rational zeros theorem
Use the rational zeros theorem to list the potential reational zeros of the polynomial function. Do not attempt to find the zeros. f(x)=6x^4+9x^3+30x^2+63x+28 
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)= 
alg 2
list all the possible rational zeros of f using the rational zero theorem. Then find all the zeros of the function. f(x)=x^3+4x^2+9x+36 
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 g(x)=5x©ù28©ø48x©÷8x+7 if more than one zero, separate with …