Question

Polynomial 1: 3x2 + 4x − 3 Polynomial 2: x2 − 5x + 3

What is the sum of the two polynomials?
A) x2 − 9x
B) 2x2 − x
C) 4x2 − x
D) 4x2 − 9x

Answer 1

The sum of the two given polynomials is 4x^2 - x.

Step-by-step explanation:

Polynomial 1: 3x2 + 4x - 3

Polynomial 2: x2 - 5x + 3

To find the sum of the two polynomials, add the corresponding like terms together. In this case, the like terms are the coefficients of x2, x, and the constant term:

3x2 + 4x - 3 + x2 - 5x + 3

Combine the like terms:

(3x2 + x2) + (4x - 5x) + (-3 + 3)

4x2 - x

Therefore, the sum of the two polynomials is 4x2 - x.