SOLUTION: Find the roots of the polynomial function. f(x)=4^3-10x^2-6x =5+-1over 4 what are the roots? Am I correct so far?

Question 191781This question is from textbook saxon algebra 2
: Find the roots of the polynomial function.
f(x)=4^3-10x^2-6x
=5+-1over 4
what are the roots? Am I correct so far? This question is from textbook saxon algebra 2

Found 2 solutions by jim_thompson5910, RAY100:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, set the right side equal to zero

Factor out the GCF 2x

Factor to get

, , or Set each factor equal to zero

, , or Solve for "x" in each case

So the solutions are , , or
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
let y= -10x^2 -6x +4^3 = -10x^2 -6x +64
at y=0, 0= -10x^2 -6x +64
0= 10x^2+6x-64
0=2(5x^2 +3x -32)
use quadratic eqn to solve
x= ( -(3) +- ( (3)^2 - 4 (5) (-32) )^1/2 ) / 2 (5)
x=( -3 +- ( 9+640)^1/2 ) /10
x=(-3 +-25.5) / 10
x=+2.25, (-2.85)
check
ok using calc
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