Justify the following statement with examples :
A cubic polynomial always has degree three.

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Solution

The general form of a cubic polynomial is $P (x) = a x^{3} + b x^{2} + c x + d$ where $a \neq 0$

Example
$P (x) = 8 x^{3} - 5 x^{2} - 10$

$P (x) = x^{3} + 2 x^{2} + x + 5$

$P (x) = 2 x^{3} - 1$

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Question 2
Write whether the following statements are true or false. Justify your answer.

i. A Binomial can have atmost two terms.

ii. Every polynomial is a Binomial.

iii. A binomial may have degree 5.

iv. Zero of a polynomial is always 0.

v. A polynomial cannot have more than one zero.

vi. The degree of the sum of two polynomials each of degree 5 is always 5.

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The degree of a binomial can be more than two.

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Q. Write whether the following statement is True or False ? Justify your answer.
Zero of polynomial is always

0

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Justify the following statement with examples :A cubic polynomial always has degree three.

The general form of a cubic polynomial is P(x)=ax3+bx2+cx+d where a≠0ExampleP(x)=8x3−5x2−10 P(x)=x3+2x2+x+5 P(x)=2x3−1

Justify the following statement with examples :
A cubic polynomial always has degree three.

The general form of a cubic polynomial is $P (x) = a x^{3} + b x^{2} + c x + d$ where $a \neq 0$

Example
$P (x) = 8 x^{3} - 5 x^{2} - 10$

$P (x) = x^{3} + 2 x^{2} + x + 5$

$P (x) = 2 x^{3} - 1$