Question

If f(x) = -7x^4 + 3x^3 + x - 5, and g(x) is a polynomial such that the degree of f(x) + g(x) is 1, then what is the degree of g(x)?

Answer 1

Answer: 4

Step-by-step explanation:

The polynomial g(x) must contain the terms $7x^4 - 3x^3$ to 'cancel out' the higher degree terms in f(x).