taiwan-gsat 2021 Q5

taiwan-gsat · Other · gsat__math 5 marks Factor & Remainder Theorem Remainder by Quadratic or Higher Divisor

Let $f ( x )$ be a real polynomial function of degree 3 satisfying the condition that the remainder when $( x + 1 ) f ( x )$ is divided by $x ^ { 3 } + 2$ is $x + 2$. If $f ( 0 ) = 4$, what is the value of $f ( 2 )$?
(1) 8
(2) 10
(3) 15
(4) 18
(5) 20

Let $f ( x )$ be a real polynomial function of degree 3 satisfying the condition that the remainder when $( x + 1 ) f ( x )$ is divided by $x ^ { 3 } + 2$ is $x + 2$. If $f ( 0 ) = 4$, what is the value of $f ( 2 )$?\\
(1) 8\\
(2) 10\\
(3) 15\\
(4) 18\\
(5) 20

Paper Questions

QA QB QC QD QE QF QG Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13