tmua 2016 Q2

tmua · Uk · paper1 1 marks Factor & Remainder Theorem Factorization and Root Analysis

The expression $3 x ^ { 3 } + 13 x ^ { 2 } + 8 x + a$, where $a$ is a constant, has ( $x + 2$ ) as a factor. Which one of the following is a complete factorisation of the expression?
A $( x + 2 ) ( x - 1 ) ( 3 x - 2 )$ B $( x + 2 ) ( x + 1 ) ( 3 x - 2 )$ C $( x + 2 ) ( x + 1 ) ( 3 x + 2 )$ D $( x + 2 ) ( x - 3 ) ( 3 x + 2 )$ E $( x + 2 ) ( x + 3 ) ( 3 x - 2 )$ F $( x + 2 ) ( x + 3 ) ( 3 x + 2 )$

& E & 2 & B

The expression $3 x ^ { 3 } + 13 x ^ { 2 } + 8 x + a$, where $a$ is a constant, has ( $x + 2$ ) as a factor. Which one of the following is a complete factorisation of the expression?

A $( x + 2 ) ( x - 1 ) ( 3 x - 2 )$
B $( x + 2 ) ( x + 1 ) ( 3 x - 2 )$
C $( x + 2 ) ( x + 1 ) ( 3 x + 2 )$
D $( x + 2 ) ( x - 3 ) ( 3 x + 2 )$
E $( x + 2 ) ( x + 3 ) ( 3 x - 2 )$
F $( x + 2 ) ( x + 3 ) ( 3 x + 2 )$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20