MCQ 511 Mark
If both $x-2$ and $x-\frac{1}{2}$ are factors of $p x^2+5 x+r$, then
View full question & answer→MCQ 521 Mark
If $(3 x-1)^7=a_7 x^7+a_6 x^6+a_5 x^5+\cdots+a_1 x+a_0$, then $a_7+a_6+a_5+\cdots+a_1+a_0=$
View full question & answer→MCQ 531 Mark
If $x^2+x+1$ is a factor of the polynomial $3 x^3+8 x^2+8 x+3+5 k$, then the value of $k$ is
AnswerCorrect option: B. $2 / 5$
View full question & answer→MCQ 541 Mark
$(x+1)$ is a factor of $x^n+1$ only if
AnswerCorrect option: A. $n$ is an odd integer
View full question & answer→MCQ 551 Mark
If $(x-1)$ is a factor of polynomial $f(x)$ but not of $g(x)$, then it must be a factor of
View full question & answer→MCQ 561 Mark
One factor of $x^4+x^2-20$ is $x^2+5$. The other factor is
AnswerCorrect option: A. $x^2-4$
View full question & answer→MCQ 571 Mark
When $x^3-2 x^2+a x-b$ is divided by $x^2-2 x-3$, the remainder is $x-6$. The values of $a$ and $b$ are respectively
View full question & answer→MCQ 581 Mark
Let $f(x)$ be a polynomial such that $f\left(-\frac{1}{2}\right)=0$, then a factor of $f(x)$ is
- A
$2 x-1$
- ✓
$2 x+1$
- C
$x-1$
- D
$x+1$
AnswerCorrect option: B. $2 x+1$
View full question & answer→MCQ 591 Mark
If $x+2$ and $x-1$ are the factors of $x^3+10 x^2+m x+n$, then the values of $m$ and $n$ are respectively
View full question & answer→MCQ 601 Mark
The value of $k$ for which $x-1$ is a factor of $4 x^3+3 x^2-4 x+k$, is
View full question & answer→MCQ 611 Mark
If $x+a$ is a factor of $x^4-a^2 x^2+3 x-6 a$, then $a=$
View full question & answer→MCQ 621 Mark
If $x+1$ is a factor of the polynomial $2 x^2+k x$, then $k=$
View full question & answer→MCQ 631 Mark
If $x^{51}+51$ is divided by $x+1$, the remainder is
View full question & answer→MCQ 641 Mark
If $x-3$ is a factor of $x^2-a x-15$, then $a=$
View full question & answer→MCQ 651 Mark
If $x+2$ is a factor of $x^2+m x+14$, then $m=$
View full question & answer→MCQ 661 Mark
If $x^{140}+2 x^{151}+k$ is divisible by $x+1$, then the value of $k$ is
View full question & answer→MCQ 671 Mark
If $x-a$ is a factor of $x^3-3 x^2 a+2 a^2 x+b$, then the value of $b$ is
View full question & answer→MCQ 681 Mark
If $x^3+6 x^2+4 x+k$ is exactly divisible by $x+2$, then $k=$
View full question & answer→MCQ 691 Mark
If $x-2$ is a factor of $x^2+3 a x-2 a$, then $a=$
View full question & answer→MCQ 701 Mark
If $x^2+k x+6=(x+2)(x+3)$ for all $x$, then the value of $k$ is
View full question & answer→MCQ 711 Mark
$x+1$ is a factor of the polynomial
- A
$x^3+x^2-x+1$
- ✓
$x^3+x^2+x+1$
- C
$x^4+x^3+x^2+1$
- D
$x^4+3 x^3+3 x^2+x+1$
AnswerCorrect option: B. $x^3+x^2+x+1$
View full question & answer→MCQ 721 Mark
If $f(x)=x^2-2 \sqrt{2} x+1$, then $f(2 \sqrt{2})$ is equal to
- A
$0$
- ✓
- C
$4 \sqrt{2}$
- D
$8 \sqrt{2}+1$
View full question & answer→MCQ 731 Mark
One of the zeros of the polynomial $f(x)=2 x^2+7 x-4$ is
- A
- ✓
$\frac{1}{2}$
- C
$-\frac{1}{2}$
- D
AnswerCorrect option: B. $\frac{1}{2}$
View full question & answer→MCQ 741 Mark
Zero of the polynomial $f(x)=3 x+7$ is
- A
$\frac{7}{3}$
- B
$\frac{-3}{7}$
- ✓
$-\frac{7}{3}$
- D
$-7$
AnswerCorrect option: C. $-\frac{7}{3}$
View full question & answer→MCQ 751 Mark
If $f(x)=x+3$, then $f(x)+f(-x)$ is equal to
View full question & answer→MCQ 761 Mark
Zero of the zero polynomial is
MCQ 771 Mark
$\sqrt{2}$ is a polynomial of degree
View full question & answer→MCQ 781 Mark
Degree of the zero polynomial is
MCQ 791 Mark
Degree of the polynomial $f(x)=4 x^4+0 x^3+0 x^5+5 x+7$ is
View full question & answer→MCQ 801 Mark
Which one of the following is a polynomial?
AnswerCorrect option: C. $x^2+\frac{3 x^{3 / 2}}{\sqrt{x}}$
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