The constant term of a polynomial refers to the term in the polynomial in which the variable/letter does not appear. For example, given the polynomial “3x + 4” the constant term is 4 since “x” does not appear alongside 4.

**Examples:**

- The polynomial y
^{2}+ 8y +1 has a constant term equal to 1. - The polynomial a
^{4}+ 6a^{2}+2a -7 has a constant term equal to -7. Notice that the constant term (free from the variable “a”) is a negative number - The polynomial 3x/5 + 7/9 has a constant term equal to 7/9.

**How to find the constant term of a polynomial?**

In order to find the constant term of a polynomial, we should simply look at the term where the variable/letter is absent.

For instance, in the polynomial x^{3}-4x^{2}+8x+9, we see that 9 is free of the letter “x”. So for this polynomial, the constant term is equal to +9.

Given a polynomial p(x) another way to find the constant term is to simply put x=0, that is finding p(0).

So if p(x) = x^{3}-4x^{2}+8x+9 then p(0) = 0^{3}-4*0^{2}+8*0+9 = 9. Hence we conclude that the constant term of the polynomial is 9.

If a polynomial is given in the standard form (in descending order of degree) then the term occurring at the last is the constant term.

**Constant term in quadratic equation**

A quadratic polynomial is of the form ax^{2}+bx+c. Here the highest power of “x” is 2. The constant term, in this case, is “c”. Note that it can be both either positive or negative.

- The quadratic polynomial 3x
^{2}+4x+2 has a constant term equal to 2. - The quadratic polynomial x
^{2}+7x-3 has a constant term equal to -3. Notice that here the constant term is negative.