Give one example each of a binomial of degree $35 $, and of a monomial of degree $100 $.
Degree of a polynomial is the highest power of the variable in the polynomial.
Binomial has two terms in it. Therefore, binomial of degree $35$ can be written as $x^{35}+x^{34}$
Monomial has only one term in it. Therefore, monomial of degree $100$ can be written as $x^{100}$.
Expand each of the following, using suitable identities : $(-2 x+5 y-3 z)^{2}$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=2 x+1, \,\,x=\frac{1}{2}$
Classify the following as linear, quadratic and cubic polynomials :
$(i)$ $1+x$
$(ii)$ $3 t$
$(iii)$ $r^{2}$
$(iv)$ $7 x^{3}$
Without actually calculating the cubes, find the value of each of the following : $(28)^{3}+(-15)^{3}+(-13)^{3}$
Find the zero of the polynomial : $p(x) = 3x -2$