Question

pick the expression that matches this description: a polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6. choose 1 answer: a 6x^7 - x^5 + 5 b 7x^5 + 2x^2 + 6 c 6x^5 + x^4 + 7 d 7x^6 - 6x^4 + 5

Explanation:

Step1: Check degree of polynomial

Degree of a polynomial is the highest power of the variable. Option A has degree 7, Option B has degree 5, Option C has degree 5, Option D has degree 6.

Step2: Check leading - coefficient

Leading - coefficient is the coefficient of the term with the highest power. In Option B, the coefficient of $x^{5}$ is 7, in Option C, the coefficient of $x^{5}$ is 6.

Step3: Check constant term

Constant term is the term without the variable. Option B has a constant term of 6, Option C has a constant term of 7.

Answer:

B. $7x^{5}+2x^{2}+6$