M L Aggarwal Solutions for Chapter: Polynomials, Exercise 1: Exercise 2.1

Classify the following polynomial as constant, linear, quadratic, cubic and biquadratic. Also find the number of terms.

$7x^4-3x^2+\sqrt{13}x+\pi$.

Classify the following polynomial as constant, linear, quadratic, cubic and biquadratic. Also find the number of terms.

$3$.

Classify the following polynomial as constant, linear, quadratic, cubic and biquadratic. Also find the number of terms.

$5r^2$.

Find $p\left(0\right),p\left(1\right)\text{ and }p\left(-2\right)$ for the following polynomial:

$p\left(x\right)=10x-4x^2-3$.

Find $p\left(0\right),p\left(1\right)\text{ and }p\left(-2\right)$ for the following polynomial:

$p\left(y\right)=(y+2)(y-2)$.

Find $p\left(0\right),p\left(1\right)\text{ and }p\left(-2\right)$ for the following polynomial:

$p\left(t\right)=2+t+2t^2-t^3$.

Find the value of the following polynomial at the indicated value of the variable:

$p\left(x\right)=2+x+2x^2-x^3\text{ at }x=1$.

Find the value of the following polynomial at the indicated value of the variable:

$f\left(y\right)=3y^3-5y+\sqrt{11}\text{ at }y=2$.