Question

Which out of the following options is a trinomial, having degree 7?

• A. $x^7+6x-8$
• B. $5x^2+12x^{-7}+x$
• C. $y^3-4x^2+12xy$
• D. $y^7-y^6+5y^4+6-8y^5+\sqrt{y}$

Answer 1

The correct option is A $x^7+6x-8$

The polynomial $x^7+6x-8$ has three terms. The first one is $x^7$, the second is $6x$, and the third is $-8$.

The exponent of the first term is $7$.

The exponent of the second term is $1$ because $6x=6x^1$.

The exponent of the third term is $0$ because $-8=-8x^0$.

Since the highest exponent is $7$, therefore, the degree of $x^7+6x-8$ is $7$.