Write the following cubes in expanded form
$(3 x+2 y)^{3}$
$=(3 x)^{3}+(2 y)^{3}+3(3 x)(2 y)(3 x+2 y)$
$=27 x^{3}+8 y^{3}+18 x y(3 x+2 y)$
$=27 x^{3}+8 y^{3}+54 x^{2} y+36 x y^{2}$
Classify the following as linear, quadratic or cubic polynomial
$4 x^{2}-49$
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
$x^{2}-8 x+15$
Classify the following as a constant, linear,quadratic and cubic polynomials:
$1+x+x^{2}$
By using the factor theorem, show that $(x+2)$ is a factor of the polynomial $6 x^{3}+19 x^{2}+16 x+4$ and then factorise $6 x^{3}+19 x^{2}+16 x+4$
Find the zero of the polynomial in each of the following cases
$p(x)=3 x-4$
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