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What type of polynomial is this? x (x - 5)(2x + 1)

A) Linear
B) Quadratic
C) Cubic
D) Quartic

User Abeba
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1 Answer

3 votes

Final answer:

The given expression, x (x - 5)(2x + 1), represents a cubic polynomial. The highest power of x is 3, which means it is a cubic polynomial.

Step-by-step explanation:

The given expression, x (x - 5)(2x + 1), represents a quadratic polynomial.

A quadratic polynomial is a polynomial of degree 2.

It can be written in the form ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0.

In this case, the expression can be expanded and simplified to get x^3 - 4x^2 - 5x.

The highest power of x is 3, which means it is a cubic polynomial.

Therefore, the correct answer is C) Cubic.

User Alex Mazzariol
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7.8k points