Q. Divide the polynomials.Your answer should be a polynomial.x2x4+4x3−x2=
Understand Polynomial Division: Understand the division of polynomials. When dividing a polynomial by a monomial, you divide each term of the polynomial by the monomial.
Divide First Term by x: Divide the first term of the polynomial by x.x2x4=2x3Check for math errors by multiplying back: 2x3⋅x=2x4, which matches the original term.
Divide Second Term by x: Divide the second term of the polynomial by x.x4x3=4x2Check for math errors by multiplying back: 4x2⋅x=4x3, which matches the original term.
Divide Third Term by x: Divide the third term of the polynomial by x.x−x2=−xCheck for math errors by multiplying back: −x⋅x=−x2, which matches the original term.
Combine Division Results: Combine the results of the divisions to get the final answer.The result of dividing the polynomial 2x4+4x3−x2 by x is 2x3+4x2−x.
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