Manipur Board Solutions for Chapter: Polynomials, Exercise 1: EXERCISE 2.1

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial.

$t+t^2-3$

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial.

$2+3x$

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial.

$y^4$

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial.

$3z$

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial.

$x-x^3$

Classify the following polynomial as linear, quadratic, cubic and biquadratic polynomial.

$x+x^2-x^4+3x^3-2$

Show that the product of two monic polynomials is also a monic polynomial.

Show, with suitable example, that the sum of two monic polynomials need not to be monic polynomial.