On dividing the polynomial p(xx) by a polynomial g(x)=4x^2+3x-2 the quotient q(x)=2x^2+2x-1 and the remainder r(x)=14x-10.find the plynomial p(x)
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p(x)=q(x)×g(x)+r(x)
=2x^2+2x-1(4x^2+3x-2)+14x-10
=8x^4+6x^3-4x^2+8x^3+6x^2-4x-4x^2-3x+2+14x-10
=8x^4+6x^3+8x^3-4x^2+6x^2-4x^2-4x-3x+14x+2-10
=8x^4+14x^3-2x^2+7x-8
=2x^2+2x-1(4x^2+3x-2)+14x-10
=8x^4+6x^3-4x^2+8x^3+6x^2-4x-4x^2-3x+2+14x-10
=8x^4+6x^3+8x^3-4x^2+6x^2-4x^2-4x-3x+14x+2-10
=8x^4+14x^3-2x^2+7x-8
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