tmua 2020 Q2

tmua · Uk · paper1 1 marks Factor & Remainder Theorem Divisibility and Factor Determination
$(2x+1)$ and $(x-2)$ are factors of $2x^3 + px^2 + q$
What is the value of $2p + q$?
A $-10$
B $-\frac{38}{5}$
C $-\frac{22}{3}$
D $\frac{22}{3}$
E $\frac{38}{5}$
F $10$
..... 4
$(2x+1)$ and $(x-2)$ are factors of $2x^3 + px^2 + q$

What is the value of $2p + q$?

A $-10$

B $-\frac{38}{5}$

C $-\frac{22}{3}$

D $\frac{22}{3}$

E $\frac{38}{5}$

F $10$