Help me please.
g(x)= 5x^4 + 4x^3 - 32x^2 +5x + 6 I need help finding the zeroes for this equation. I found 2 works.
This function has at least one rational zero. Use this fact to find all zeros of the function.
Yourirst find factors of the first and last coefficients of the ordered polynomial. Can you do it?
You first*
For 5, it will be just 5 and for 6, it will be 2 and 3.
My mistake! The factors of 5= 1 and 5. The factors of 6= 1,2,3 and 6 itself. Now, the roots are always present by plus or minus in fractions, in which the numerators are every value of the factors of 6 and the denominators are every value of the factors of 5. So to exemplify, one of the roots is +/- 1/1 or +/- 1/5 or +/-2/1 or +/- 2/5 or +/- 3/1 or +/-3/5. You go on till the end and to clarify which exactly are the roots, use a graph calculator or go to graphskecth.com to write the equation formula, appreciate its shape and use your roots to predict where are they in the x-intercept.
if 2 is a factor u can use sythetically divide it by \( (x-2)\) to get the other factored part
@mathgirl2012 Did you start out doing this problem by synthetic division and the Rational Root Theorem? I'm wondering how you found the 2 root.
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