pick the expression that matches this description:\na 3rd degree binomial with a constant term of 8\nchoose…

pick the expression that matches this description:\na 3rd degree binomial with a constant term of 8\nchoose 1 answer:\na $x^{3}-x^{2}+8$\nb $8x^{3}+2x + 3$\nc $2x^{8}+3$\nd $-5x^{3}+8$

pick the expression that matches this description:\na 3rd degree binomial with a constant term of 8\nchoose 1 answer:\na $x^{3}-x^{2}+8$\nb $8x^{3}+2x + 3$\nc $2x^{8}+3$\nd $-5x^{3}+8$

Answer

Explanation:

Step1: Analyze the number of terms

A binomial has 2 terms.

  • Option A: (x^{3}-x^{2}+8) has 3 terms.
  • Option B: (8x^{3}+2x + 3) has 3 terms.
  • Option C: (2x^{8}+3) has 2 terms.
  • Option D: (-5x^{3}+8) has 2 terms.

Step2: Analyze the degree

The degree of a polynomial is the highest power of the variable.

  • Option C: The degree of (2x^{8}+3) is 8.
  • Option D: The degree of (-5x^{3}+8) is 3.

Step3: Analyze the constant term

The constant term in (-5x^{3}+8) is 8.

Answer:

D. (-5x^{3}+8)