Additional Mathematics 0606 / Factors and polynomials / 3.123.12: Index form of a product; equation in x5/4x^{5/4}x5/40606/11/O/N/21 — Question 4 · 7 marksMark as done · Save for later · Show all solutions(a)Given that p7q2r3=paqbrc\sqrt{p^{7}q^{2}\sqrt[3]{r}} = p^{a}q^{b}r^{c}p7q23r=paqbrc, find the value of each of the constants aaa, bbb and ccc.[3]▸ Answer(b)Solve the equation x5/2−8x5/4+16=0x^{5/2} - 8x^{5/4} + 16 = 0x5/2−8x5/4+16=0.[4]▸ Answer▸ Official mark scheme← 3.6: Factor and derivative conditions; full factorisation3.13: Coefficients from ppp and p′p'p′; remainder of p′′p''p′′ →