Question

What is the difference of the polynomials?

a) Sum of coefficients
b) Product of coefficients
c) Coefficients of higher-degree terms
d) Coefficients of lower-degree terms

Answer 1

The difference of two polynomials is found by subtracting the coefficients of the corresponding terms.

Step-by-step explanation:

The difference of two polynomials is found by subtracting the coefficients of the corresponding terms.

For example, let's say we have two polynomials:

P(x) = 3x^2 + 2x + 5

Q(x) = 4x^2 - 3x + 1

To find the difference between these two polynomials, we subtract the coefficients of the corresponding terms:

• For the x^2 term: (3x^2 - 4x^2) = -x^2
• For the x term: (2x - (-3x)) = 5x
• For the constant term: (5 - 1) = 4

So, the difference of the polynomials P(x) and Q(x) is -x^2 + 5x + 4.