2017 · Q6
Let f(x) and g(x) be two polynomials (with real coefficients) having degrees 3 and 4 respectively. What is the degree of f(x)g(x) ?
Elementary MathematicsAlgebra
- A12
- B7
- C4
- D3
Explanation
Multiplying two polynomials multiplies their leading terms, so the degrees add. deg f = 3 and deg g = 4, hence deg(fg) = 3+4 = 7 — the product of the two non-zero leading coefficients cannot vanish. Hence option (B) 7. (Trap: 12 confuses multiplication with composition of polynomials.)