Saturday

February 28, 2015

February 28, 2015

Posted by **hiroko** on Saturday, November 9, 2013 at 5:36am.

f(x)= 5x^4-11x^3-33x^2+77x-14

- math -
**Reiny**, Saturday, November 9, 2013 at 8:50amtrying x = ±1, ±2, ± 7, ±1/5, ±2/5, ±7/5

I found f(2) = 0

and f(x) = (x-2)(5x^3 - x^2 - 35x + 7) = (x-2)g(x)

x = ±7 didn't work in the first, so it certainly will not work in this one

so try x = 1/5 in the cubic factor

g(1/5) = 5(1/125) - 1/25 - 35(1/5) + 7 = 0

so we have

f(x) = (x-2)(5x-1)(x^2 - 7) after a division

roots are

x = 2, 1/5, ± √7

**Answer this Question**

**Related Questions**

college algebra - use the rational zeros theorem to find all the real zeros of ...

Algebra - Can someone please explain how to do these problems. 1)write a ...

Algebra - Please check my answers. Thanks! Solve the polynomial equation. In ...

math - list all the possible rational zeros for the polynomial below. find all ...

algebra 2 - List all possible rational zeros of each function. f(x)=4x^5+4x^2-9 ...

Math Problem (please help) - Find all the zeros of the function. When there is ...

Math Problem2 - List all possible rational zeros for the polynomial below. Find ...

college algebra - 1. solve the following logarithmic equation log_8(x+8)+log_8(x...

ALGEBRA 2 - Use the Rational Root Theorem to list all possible rational roots ...

math - Still looking at how to solve these... Both are cubic polynomials? 43x^3...