Question

The degree of a polynomial f(x) is 7 and that of polynomial f(x) g(x) is 56, then degree of g(x) is ________.

Answer 1

Given:
Degree of a polynomial f(x) = 7
Degree of polynomial f(x) g(x) = 56
Degree of polynomial f(x) g(x) = Degree of ​polynomial f(x) × Degree of ​polynomial g(x)
⇒ 56 = 7 × Degree of ​polynomial g(x)
⇒ Degree of ​polynomial g(x) $=\frac{56}{7}$
⇒ Degree of ​polynomial g(x) = 8
Hence, degree of g(x) is 8.