Question

1) What is the condition that ax^4 + bx^3 + cx^2 + dx + e will represent a polynomial of degree 3 ?

Answer 1

Answer:

Degree of the polynomial:

Degree of the polynomial of is the highest degree of the polynomial.

>> The given polynomial is ax⁴+bx³+ cx²+dx+e

To make it a cubic polynomial the condition should be

a=0 and b not equal to zero.

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>> ax⁴+bx³+cx²+dx+e

If a=0,

>> 0x⁴+bx³+cx²+dx+e

>> bx³+cx²+dx+e

Hence, here highest degree is 3.

The degree of the polynomial will be 3.

Therefore the required condition is a=0 and b not equal to 0.