SOLUTION: Please help me solve this equation and simplify. 10x^3+35^2-5x Thank you!

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Question 127731This question is from textbook Experiencing Introductory & Intermediate Algebra
: Please help me solve this equation and simplify.
10x^3+35^2-5x Thank you!
This question is from textbook Experiencing Introductory & Intermediate Algebra

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
This is not an equation there is no equal sign.
10x^3+35^2-5x
=10x^3-5x+1225
=5(2x^3-x-245)

from the graph we see that one of the zeroes of the problem appears to be x=5.
(x-5), therefore, is one of the factors if there is no remainder using synthetic division.
.
5|2 0 -1 -245
=|==10 50 245
=|-----------
=|2 10 49 0(remainder)
2x^2+10x+49
.
So these are the factors: 5(x-5)(2x^2+10x+49)
.
Ed

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