The expansion for \((x-y)^2\) is
\((x-y)^2=x^2-2xy+y^2\)  is an algebraic identity

The number 0 is called a

Which of the following is a polynomial in one variable?

Which of the following is a trinomial in x?

Degree of the polynomial \(4x^4+0x^3+0x^5+5x+7\) is:

Write the coefficient of x³ of the following polynomials:
\({ 2x }^{ 3 }-7x+{ x }^{ 2 }+{ 3x }^{ 4 }\)

Find the degree of the polynomials given below:
\({ x }^{ 5 }-{ x }^{ 4 }+5\)

Point out which of the following polynomials are monomials, binomials or trinomials?
\({ x }^{ 3 }+8\)

If \(p(x)=x^3+3x^2-2x+4\) then find the value of \(p(2)+p(-2)-p(0).\)

Find the value of k if x - 1 is a factor of \(4x^3+3x^2-4x+k\)

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
\({ x }^{ 10 }+{ y }^{ 3 }+{ t }^{ 50 }\)

Write the coefficients of x² in the following:
\(\frac { \pi }{ 2 } { x }^{ 2 }+x\)

Classify the following as linear, quadratic and cubic polynomials:
1 + x

Find p(0), p(1) and p(2) for each of the following polynomials:
p(x) = (x - 1) (x + 1)

Find the zero of the polynomial in each of the following cases: \(p(x)=2x+5\)

Write the various coefficients in the following polynomials:
1 - 2y + 3y⁶

On dividing \(f(x)={ x }^{ 4 }-{ 2x }^{ 3 }+3{ x }^{ 2 }-ax+b\) and (x+1), we get remainder 5 and 19 respectively. Find the remainder when f(x) is divided by (x-2).

If x and y are two positive real numbers such that \(x^2+4y^2=17\) and xy=2, then find the value of (x+2y).

Factorise: \(a^2+b^2-2(ab-ac+bc)\)

If \(x+\frac{1}{x}=7,\)  then find the value of \(x^3+\frac{1}{x^3}\)