Additional Mathematics 0606 / Factors and polynomials / 3.83.8: Verify a root and show no other real roots0606/23/M/J/23 — Question 4 · 5 marksMark as done · Save for later · Show all solutionsThe polynomial ppp is such that p(x)=2x3+11x2+22x+40p(x) = 2x^{3} + 11x^{2} + 22x + 40p(x)=2x3+11x2+22x+40.(a)Show that x=−4x = -4x=−4 is a root of the equation p(x)=0p(x) = 0p(x)=0.[1]▸ Answer(b)Factorise p(x)p(x)p(x) and hence show that p(x)=0p(x) = 0p(x)=0 has no other real roots.[4]▸ Answer▸ Official mark scheme← 3.28: Cubic factor and midpoint of intersection points3.27: Cubic factor and exponential equation →
