Kesab Chandra Nag Solutions for Exercise 1: EXERCISE-1.1

Determine the degree and number of terms of the following polynomial.

${\left(3+x\right)}^{10}$

Determine the degree and number of terms of the following polynomial.

Determine the degree and number of terms of the following polynomial.

Determine the degree and number of terms of the following polynomial.

${\left\{\left(1-x\right)\left(1+x+x^2\right)\right\}}^p$, when $p=10$

For what value of $a$, the polynomial $\left(a-1\right)x+10$ will reduce to a constant polynomial?

If the expression $\left(k^2-2k+1\right)y+\sqrt{17}$ be a constant polynomial, then prove that $k=1$.

If the polynomial $\left(a^2-b^2\right)x^2+2abx+\left(a^2+b^2\right)$ where $a,b,c$ are constants, be a linear polynomial, then prove that $a=b$.

If the polynomial $\left(a^2+b^2+c^2-ab-bc-ca\right)x^2+2abcx+\left(a^2+b^2+c^2\right)$, where $a,b,c$ are constants, be a linear polynomial, then prove that $a=b=c$.