on dividing polynomial p(x) =8x*4+14x*3-2x*2+7x-8 by a polynomial g(x) thr quotient q(x) and remainder r(x) are 2x*2+2x-1and 14x -10 find g(x)
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Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
0-(2*x^4-7*x^3-8*x^2+14*x+8)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
0-(((((2•(x4))-(7•(x3)))-23x2)+14x)+8) = 0
STEP
2
:
Equation at the end of step
2
:
0-(((((2•(x4))-7x3)-23x2)+14x)+8) = 0
STEP
3
:
Equation at the end of step
3
:
0 - ((((2x4 - 7x3) - 23x2) + 14x) + 8) = 0
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
-2x4 + 7x3 + 8x2 - 14x - 8 =
-1 • (2x4 - 7x3 - 8x2 +
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