Question

Choose the expression that represents a cubic expression. 2x 11 −3x2 − 2x 11 4x3 − 3x2 − 2x 11 5x4 4x3 − 3x2 − 2x 11

Answer 1

(C) $8x^{3} -7x^{2} -6x+5$ represents a cubic expression.

What is a cubic expression?

• A cubic polynomial has the generic form $p(x): ax^{3} +bx^{2} +cx+d$, a 0, where a, b, and c are coefficients and d is the constant, all of which are real integers.
• A cubic equation is one that involves a cubic polynomial.

To determine which expression represents a cubic expression:

• $8x^{3} -7x^{2} -6x+5$  is a cubic expression.
• The variable is x.
• $8x^{3} -7x^{2} -6x+5$ : The variable x has the highest power as 3.
• $8x^{3} -7x^{2} -6x+5$  is a polynomial.
• $-7x+4$ is a linear expression because the highest power of the variable x is 1.
• $7x^{2} -5x+6$ is a quadratic expression because the highest power of the variable x is 2.
• $9x^{4} +8x^{3} -6x^{2} -2x+11$ is a polynomial with the highest power of the variable being 4.

Therefore, (C) $8x^{3} -7x^{2} -6x+5$ represents a cubic expression.

Know more about a cubic expression here:

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The complete question is given below:

Choose the expression that represents a cubic expression.

(A) −7x + 14

(B) 7x2 − 5x + 6

(C) 8x3 − 7x2 − 6x + 5

(D) 9x4 + 8x3 − 6x2 − 2x + 11