MCQ 1011 Mark
What should be added to the polynomial $x^2-5 x+4$, so that 3 is the zero of the resulting polynomial?
- A1
- ✓2
- C4
- D5
Answer
View full question & answer→Correct option: B.
2
B
Questions · Page 3 of 3
M.C.Q (1 Marks)
MCQ 1021 Mark
If $\alpha$ and $\beta$ are the zeros of the polynomial $x^2-6 x+k$ and $3 \alpha+2 \beta=20$, then the value of $k$ is
- A-8
- B16
- ✓-16
- D8
Answer
View full question & answer→Correct option: C.
-16
C
MCQ 1031 Mark
If $\alpha, \beta$ are the zeros of polynomial $f(x)=x^2-p(x+1)-c$, then $(\alpha+1)(\beta+1)=$
- A$c-1$
- ✓$1-c$
- C$c$
- D$1+c$
Answer
View full question & answer→Correct option: B.
$1-c$
B
MCQ 1041 Mark
If $\alpha$ and $\beta$ are the zeros of the polynomial $f(x)=x^2+p x+q$, then a polynomial having $\frac{1}{\alpha}$ and $\frac{1}{\beta}$ is its zeros is
- A$x^2+q x+p$
- B$x^2-p x+q$
- ✓$q x^2+p x+1$
- D$p x^2+q x+1$
Answer
View full question & answer→Correct option: C.
$q x^2+p x+1$
C
MCQ 1051 Mark
If $\alpha, \beta$ are the zeros of the polynomial $f(x)=a x^2+b x+c$, then $\frac{1}{\alpha^2}+\frac{1}{\beta^2}=$
- A$\frac{b^2-2 a c}{a^2}$
- ✓$\frac{b^2-2 a c}{c^2}$
- C$\frac{b^2+2 a c}{a^2}$
- D$\frac{b^2+2 a c}{c^2}$
Answer
View full question & answer→Correct option: B.
$\frac{b^2-2 a c}{c^2}$
B
MCQ 1061 Mark
The zeroes of the quadratic polynomial $x^2+99 x+127$ are
- Aboth positive
- ✓both negative
- Cboth equal
- Done positive and one negative
Answer
View full question & answer→Correct option: B.
both negative
B
MCQ 1071 Mark
If one of the zeroes of the quadratic polynomial $(k-1) x^2+k x+1$ is -3 , then the value of $k$ is
- ✓$\frac{4}{3}$
- B$-\frac{4}{3}$
- C$\frac{2}{3}$
- D$-\frac{2}{3}$
Answer
View full question & answer→Correct option: A.
$\frac{4}{3}$
A
MCQ 1081 Mark
If the product of zeros of the polynomial $f(x)=a x^3-6 x^2+11 x-6$ is 4 , then $a=$
- ✓$\frac{3}{2}$
- B$-\frac{3}{2}$
- C$\frac{2}{3}$
- D$-\frac{2}{3}$
Answer
View full question & answer→Correct option: A.
$\frac{3}{2}$
A
MCQ 1091 Mark
If the sum of the zeros of the polynomial $f(x)=2 x^3-3 k x^2+4 x-5$ is 6 , then the value of $k$ is
- A2
- ✓4
- C-2
- D-4
Answer
View full question & answer→Correct option: B.
4
B
MCQ 1101 Mark
If $\sqrt{5}$ and $-\sqrt{5}$, are two zeroes of the polynomial $x^3+3 x^2-5 x-15$, then its third zero is
- A3
- ✓-3
- C5
- D-5
Answer
View full question & answer→Correct option: B.
-3
B
MCQ 1111 Mark
If two zeroes of the polynomial $x^3+x^2-9 x-9$ are 3 and -3 , then its third zero is
- ✓-1
- B1
- C-9
- D9
Answer
View full question & answer→Correct option: A.
-1
A
MCQ 1121 Mark
The product of the zeros of $x^3+4 x^2+x-6$ is
- A-4
- B4
- ✓6
- D-6
Answer
View full question & answer→Correct option: C.
6
C
MCQ 1131 Mark
If two zeros of $x^3+x^2-5 x-5$ are $\sqrt{5}$ and $-\sqrt{5}$, then its third zero is
- A1
- ✓-1
- C2
- D-2
Answer
View full question & answer→Correct option: B.
-1
B
MCQ 1141 Mark
If one root of the polynomial $f(x)=5 x^2+13 x+k$ is reciprocal of the other, then the value of $k$ is
- A$0$
- ✓5
- C$\frac{1}{6}$
- D6
Answer
View full question & answer→Correct option: B.
5
B
MCQ 1151 Mark
If the product of two zeros of the polynomial $f(x)=2 x^3+6 x^2-4 x+9$ is 3 , then its third zero is
- A$\frac{3}{2}$
- ✓$-\frac{3}{2}$
- C$\frac{9}{2}$
- D$-\frac{9}{2}$
Answer
View full question & answer→Correct option: B.
$-\frac{3}{2}$
B
MCQ 1161 Mark
If one zero of the polynomial $f(x)=\left(k^2+4\right) x^2+13 x+4 k$ is reciprocal of the other, then $k=$
- ✓2
- B-2
- C1
- D-1
Answer
View full question & answer→Correct option: A.
2
A
MCQ 1171 Mark
The product of the zeros of the polynomial $x^3+4 x^2+x-6$ is
- A-4
- B4
- ✓6
- D-6
Answer
View full question & answer→Correct option: C.
6
C
MCQ 1181 Mark
A quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3 , is
- ✓$x^2-9$
- B$x^2+9$
- C$x^2+3$
- D$x^2-3$
Answer
View full question & answer→Correct option: A.
$x^2-9$
A
MCQ 1191 Mark
If one of the zeros of a quadratic polynomial of the form $x^2+a x+b$ is the negative of the other, then it
- ✓has no linear term and constant term is negative.
- Bhas no linear term and the constant term is positive.
- Ccan have a linear term but the constant term is negative.
- Dcan have a linear term but the constant term is positive.
Answer
View full question & answer→Correct option: A.
has no linear term and constant term is negative.
A
Question 1201 Mark
Answer
View full question & answer→D