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Please help me with this algebra question

Please help me with this algebra question-example-1

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Answer:

Explanation:

The length of the rectangle is represented by the polynomial 2x^3 - 5x^2 + 8 and the width is represented by the polynomial, x + 3

The area of a rectangle is expressed as Length × width. Therefore, the area of the given rectangle is expressed as

(2x^3 - 5x^2 + 8)(x + 3)

= 2x^4 + 6x^3 - 5x^3 - 15x^2 + 8x + 24

= 2x^4 + x^3 - 15x^2 + 8x + 24

The constant term of the polynomial is 24

The polynomial has a degree of 4. This is the highest power of the variable, x

The leading coefficient of the polynomial is 2. This is the coefficient of the highest power of variable x

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