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

Verify whether the following are zeroes of the polynomial, indicated against them.
\(p(x)=3x+1,x=-\frac { 1 }{ 3 } \)

Classify the following as linear, quadratic and cubic polynomials:
y + y² + 4

Write the degree of the following polynomials:
4 - y²

Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
\({ 4x }^{ 2 }-3x+7\)

Prove that \((a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)\) = \(2(a^3+b^3+c^3-3abc)\)

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

Verify whether 2 and 0 are zeroes polynomial \(x^2-2x\)

Chech whether -2 and 2 are zeroes of the polynomial x+2.

Find a zero of the polynomial p(x)=2x+1

Point out which of the following polynomials are monomials, binomials or trinomials?
8

Write the coefficient of x³ of the following polynomials:
\(\frac { 2 }{ 3 } -\frac { 5 }{ 4 } x+{ x }^{ 3 }+\frac { 1 }{ 2 } { x }^{ 2 }\)

The degree of the polynomial \(p(x)=(x-7)^3-x^3\) is:

The degree of the polynomial \((x^3+5)(4-x^5)\) is:

Degree of polynomial \((x^3+5)(4-x^5)\) is:

The degree of the polynomial \(2-y^2-y^3+2y^7\) is:

Degree of the polynomial \(p(x)=4x^4+2x^3+x^5+2x+7\) is:

The number 0 is called a

Select the correct statement from the following:

The compact form of (x+y)(x-y) is
\((x+y)(x-y)=x^2-y^2\)  is an algebraic identity

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

Which of the following is an algebraic identity?
\((x+y)^2=x^2+2xy+y^2\) is an algebraic identity

Write an example of a constant polynomial.

What is x+\(\frac { 1 }{ x } \)?

Name the degree of the polynomial -3x+2.

What is the degree of a zero polynomial?

Write the expression which represents polynomial.