The expression 2x⁴-x³-3x²+5x-2 should be divisible by which expression so that the quotient is x²+x-1?
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Answer:
check:
p(x)/q(x) quotient +remainder
since remainder =0
q(x) ×quotient =p(x)
=(2x^2-3x+2) × (x^2+x-1)
= 2x^4+2x^3-2x^2-3x^3-3x^2+3x+2x^2+2x-2
= 2x^4-x^3-3x^2+5x-2
= p(x)
Hope this helps u ...
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