Question

The long division below shows the first term of the quotient. which polynomial should be subtracted from the dividend first? x 2 startlongdivisionsymbol x cubed 3 x squared x endlongdivisionsymbol to get a quotient of x squared x 3 x2 x 2 x3 2x2 x2 3x

Answer 1

The polynomial to be subtracted is derived from the multiplication of the first term of the quotient and is given as: x³ + 2x²

What are polynomials?

Polynomials are mathematical expressions consisting of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division.

The long division is as follows:

(x³ + 3x² + x) ÷ x + 2

The first quotient will be x².

Multiplying (x + 2) and x² gives the polynomial to be subtracted from the dividend.

(x + 2)×(x²) = x³ + 2x²

Therefore, the polynomial to be subtracted is x³ + 2x².

Learn more about polynomials at: brainly.com/question/497625

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