Question

Write the general from of the following linear polynomial and cubic polynomial

Answer 1

AnswEr:-

What is linear Polynomial?

A polynomial of one degree is called linear Polynomial.

Examples:-

• 5x + 3
• y + √2
• -6x

General Form:- ax + b

A Linear Polynomial is one variable can have at the most two terms.

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What is Cubic Polynomial?

A polynomial of three degree is called Cubic Polynomial.

Examples:-

• x³ - 7x² + 10x - 7
• 21y³ - 1

General Form :- ax³+ bx²+cx +d

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Answer 2

Answer:

So, First of all Let's know what is Polynomial.

• Polynomial :- It is a mathematical expression comprising of variables and coefficient which are operated by four fundamental signs i.e., (+) (-) (×) and (÷).

General form of Polynomial :-

• $\boxed{ \sf{{a}^{n} {x}^{n} + {a}^{n - 1} {x}^{n - 1} + .......... + {a}^{1} {x}^{1} + {a}^{0} {x}^{0} }}$

Now, Coming to the question.

• Linear Polynomial :- The polynomial having degree equals to 1.

General form of Linear Polynomial:-

• $\large \boxed{ \sf{ax + b}}$

Now, coming to the second part.

• Cubic Polynomial :- The polynomial having degree equals to 3.

General form of Cubic polynomial :-

• $\large \boxed{ \sf{a {x}^{3} + b {x}^{2} + cx + d}}$