Find the quotient and the remainder when $x^{3}+x^{2}-10 x+8$ is divided by
$x+4$
Quotient $=x^{2}-3 x+2,$ Remainder $=0$
Which of the following expressions are polynomials in one variable and which are not $?$ State reason for your answer. If the given expression is a polynomial, state whether it is a polynomial in one variable or not
$x^{2}-8 x+15$
Expand
$(x+5 y)(x-5 y)$
By Remainder Theorem find the remainder, when $p(x)$ is divided by $g(x),$ where
$p(x)=x^{3}-2 x^{2}-4 x-1, \quad g(x)=x+1$
Factorise $: 121 x^{2}-289 y^{2}$
Verify whether the following are True or False:
$-\frac{1}{3}$ is a zero of $3 x+1$
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