Question

Q2 Write the polynomial in standard form. Then name the polynomial based on its degrees and number of terms.

4x3+2x2+1-3x

Standard Form: Name based on degree: Name based on number of terms:

Answer 1

Given:-

• A polynomial 4x³ + 2x² + 1 - 3x

To find:-

• To find out the standard form.
• To classify it on the basis of degree and number of terms .

Answer:-

The given polynomial to us is ,

`\implies 4x^3 + 2x^2 + 1 - 3x`

Since the highest degree of variable is 3 , it is a cubic polynomial .

Cubic polynomial - A polynomial in which the highest degree of variable is 3 is called cubic polynomial.

Also , it has four terms in it , so on the basis of number of terms it can be classified as quadrinomial .

Quadrinomial - A polynomial having 4 terms in it is called quadrinomial.

Also the standard form of the cubic polynomial is ,

`\implies ax^3 + bx^2 + cx + d`

So on arranging the given polynomial in standard form, we have;

`\implies \underline{\underline{ 4x^3 +2x^2-3x+1}}`

This is our required answer.

and we are done!