Additional Mathematics 0606 / Straight-line graphs / 3.713.71: Cubic polynomial with derivative and factor conditions0606/11/O/N/24 — Question 6 · 6 marksMark as done · Save for later · Show all solutionsThe polynomial p(x)=ax3+x2+bx+cp(x)=ax^{3}+x^{2}+bx+cp(x)=ax3+x2+bx+c satisfies p′(0)=12p'(0)=12p′(0)=12, x+3x+3x+3 is a factor, and p(1)=16p(1)=16p(1)=16. Find aaa, bbb and ccc.[6]▸ Answer▸ Official mark scheme← 3.48: Linear law: yyy against x3x^{3}x33.72: Linear law: e5ye^{5y}e5y against x3x^{3}x3 →
