Questions

MCQ

🎯

Test yourself on this topic

20 questions · timed · auto-graded

MCQ 21 Mark
Given $f(x)=(3 k+2) x^3+(k-1)$. If $f(x)$ is divided by $(2 x+1)$, the remainder is :
  • A
    $f\left(\frac{1}{2}\right)$
  • B
    $f\left(-\frac{1}{2}\right)$
  • C
    $f(2)$
  • D
    $f(-2)$
Answer
Self
View full question & answer
MCQ 31 Mark
$(x+2)$ and $(x+3)$ are factors of $f(x)=x^3+a x+b$, then the value of $f(-3)$ is :
  • A
    $1$
  • B
    $2$
  • C
    $-1$
  • D
    $0$
Answer
Self
View full question & answer
MCQ 41 Mark
If $(x-3)$ is a factor of $f(x)=x^2-k x+12$, then the other factor of $f(x)$ is :
  • A
    $x-4$
  • B
    $x-1$
  • C
    $x-2$
  • D
    $x+4$
Answer
Self
View full question & answer
MCQ 51 Mark
Given $f(x)=x^3+(k x+8) x+k$. If $f(x)$ is divided by $(x+1)$, the remainder is :
  • A
    $2 k-9$
  • B
    $2 k+9$
  • C
    $2 k$
  • D
    $0$
Answer
Self
View full question & answer
MCQ 61 Mark
When the polynomials $f(x)=\left(p x^3+3 x^2-3\right)$ and $g(x)=\left(2 x^3-5 x+p\right)$ are divided by $(x-4)$, they leave the same remainder. The value of $p$ is :
  • A
    $-1$
  • B
    $0$
  • C
    $1$
  • D
    $2$
Answer
Self
View full question & answer
MCQ 71 Mark
If $(x-1)$ and $(x+2)$ are factors of $f(x)=x^3+10 x^2+a x+b$, then the value of $b$ is :
  • A
    10
  • B
    12
  • C
    18
  • D
    -18
Answer
Self
View full question & answer
MCQ 131 Mark
When a polynomial $f(x)$ is divided by $(3 x+4)$, the remainder is :
  • A
    $f\left(\frac{3}{4}\right)$
  • B
    $f\left(\frac{4}{3}\right)$
  • C
    $f\left(-\frac{3}{4}\right)$
  • D
    $f\left(-\frac{4}{3}\right)$
Answer
Self
View full question & answer
MCQ 141 Mark
When $f(x)$ is divided by $(a x-b)$, then the remainder is :
  • A
    $f(a)$
  • B
    $f(a b)$
  • C
    $f(-b / a)$
  • D
    $f(b / a)$
Answer
Self
View full question & answer
MCQ 171 Mark
If a polynomial $p(x)$ is divided by $(x+\alpha)$, then the remainder is :
  • A
    $p(\alpha)$
  • B
    $p(-\alpha)$
  • C
    $\alpha p(x)$
  • D
    $p(x)+\alpha$
Answer
Self
View full question & answer
MCQ 201 Mark
$(x+1)$ is a factor of :
  • A
    $x^3+4 x^2+5 x+2$
  • B
    $x^3-4 x^2-5 x+2$
  • C
    $x^3-3 x^2-7 x-1$
  • D
    $2 x^3-4 x^2-5 x+1$
Answer
Self
View full question & answer
MCQ - Mathematics STD 10 Questions - Vidyadip