Question

Match the following according to the polynomial $-15x^4+0.5x^3-x^2+2x+8$.

• A. 5
• B. 1
• C. 8
• D. -5.5

Answer 1

i) Given polynomial is
$-15x^4+0.5x^3-x^2+2x+8$.

Expressions which are separated by + or - symbols are called as terms.

Here, number of terms are 5.

ii) A quantity representing the power to which a given number or expression is to be raised is called an exponent.
So, exponent of $2x$ is 1.


iii) The constant term of a polynomial is the term whose value cannot be changed. So, 8 is the constant term.

iv) Coefficient of $x^4$ is -15,
coefficient of $x^3$ is 0.5,
coefficient of $x^2$ is -1,
coefficient of $x$ is 2
and coefficient of $x^0$ is 8.
So, sum of all the coefficients is
-15 + 0.5 - 1 + 2 + 8 = -5.5