Question

On dividing the polynomial p(x)=9x^4-4x^2+4by the polynomialg(x)3x+x-1 the reminder is ax-b find a and b.with photo

Answer 1

3x2 +x-1 )9x4 -4x2 +4( 3x2 –x

-9x4 +3x2 -3x3

__________________

-3x3 –x2 + 4

+3x3 +x2 – 4

________________

-x+4

________

Ax-b=-x+4

A= -1 , b= -4

Answer 2

given,
f(x)=9x⁴-4x²+4 is divided by g(x)=3x²+x-1

3x²+x-1 ) 9x⁴-4x²+4 ( 3x²-x
-9x⁴-3x³+3x²
___________
-3x³-x²+4
3x³+x²-x
____________
-x+4
ax-b=-x+4
by comparing on both sides
a=-1, b=-4

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