2019 · Q97
What is the LCM of the polynomials x³ + 3x² + 3x + 1, x³ + 5x² + 5x + 4 and x² + 5x + 4?
Elementary MathematicsHCF and LCM
- A(x + 1)³(x + 4)(x² + x + 1)
- B(x + 4)(x² + x + 1)
- C(x + 1)(x² + x + 1)
- D(x + 1)²(x + 4)(x² + x + 1)
Explanation
x^3+3x^2+3x+1 = (x+1)^3; x^3+5x^2+5x+4 = (x+4)(x^2+x+1); x^2+5x+4 = (x+1)(x+4). LCM = (x+1)^3(x+4)(x^2+x+1).