Question

Constant term the polynomial 4x5 – 5x3 + 2x - 7
A) 4
B)?
C) - 5
D) - 7​

Answer 1

The given polynomial is :

4x⁵ - 5x³ + 2x - 7

Accordingly the constant is :

[ (d) -7]

Constant term : The Toms which do not change with the value of x and do not have a coefficient of X are known as constant terms . For example -7 in the given polynomial .

How do we know that it's a constant terms why does its value never change ?

For answering this question let's take the example of the same polynomial given but the value of x would be 2 .

So when we substitute the value of x in any of the constant terms and polynomials they do not remain constant .

Like :

• 4x⁵ - 5x³ + 2x - 7

= 4(2)⁵ - 5(2)³ + 2(2) - 7

= 128 - 40 + 4 -7

= 92 - 7

= 85

Till The Last of the value of 7 did not change so we can say that 7 is a constant value and the reason being it does not have a coefficient of X with it .

Answer 2

$\huge\boxed{Answer}$

(D) -7

-7 is the constant term.

4x^5, -5x³ and 2x are not constant terms because they are having a variable (x).

All three terms except -7, can have different values as the value of x chances.