On dividing the polynomial p(x) by a polynomial g(x)=4x2+3x-2 the quotient q(x)=2x2+2x-1 and remainder r(x)=14 x-10. Find the polynomial p(x).
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hence answer is -6x^2 + 17x + 8
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Answer:
Step-by-step explanation:
Px =qx ×gx +rx (by division algorithm)
Px=(2x^2+2x-1)×(4x^2+3x-2)+14x-10
Px=8x^4+6x^3-4x^2+8x^3+6x^2-4x-4x^2-3x+2+14x-10
Px=8x^4+14x^3-2x^2+7x-8.
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