Additional Mathematics 0606 / Factors and polynomials / 3.103.10: Nature of roots of a rational equation; linear fractional equation0606/22/M/J/24 — Question 3 · 8 marksMark as done · Save for later · Show all solutions(a)Determine whether the equation x−5x+3=43x+1\dfrac{x - 5}{x + 3} = \dfrac{4}{3x + 1}x+3x−5=3x+14 has two distinct real roots, two equal roots or no real roots.[4]▸ Answer(b)Solve the equation x−12x=4x - \dfrac{12}{x} = 4x−x12=4.[4]▸ Answer▸ Official mark scheme← 3.9: Division form, then factorise p(x)−5p(x) - 5p(x)−53.29: Polynomial coefficients from remainder data →
