Answer:
Degree 5
Step-by-step explanation:
Given
Degree of f(x) = 3
Degree of g(x) = 5
Required
Degree of 2f(x) + 4g(x)
<h2>Analyzing both polynomials</h2><h3>f(x)</h3>
2f(x) means 2 * f(x)
Since 2 is a constant
Multiplying f(x) by 2 will result in a polynomial with a degree of 3
Hence 2f(x) has a degree of 3
<h3 /><h3>g(x)</h3>
4g(x) means 4 * g(x)
Since 4 is also a constant
Multiplying g(x) by 4 will result in a polynomial with a degree of 5
Hence 4g(x) has a degree of 5
Having said that;
When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;
This means that;
Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5
