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Published on: 22/10/2025
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1.
What should be subtracted from the polynomial x2 - 16x + 30, so that 15 is the zero of the resulting polynomial?
30
14
15
16
2.
The zeroes of the quadratic polynomial 2x2 - 3x - 9 are
3, \(\frac{-3}{2}\)
-3, \(\frac{-3}{2}\)
-3, \(\frac{3}{2}\)
3, \(\frac{3}{2}\)
3.
The quadratic polynomial, the sum of whose zeroes is -5 and their product is 6, is
x2 + 5x + 6
x2 - 5x + 6
x2 - 5x - 6
-x2 + 5x + 6
4.
If α and β are the zeroes of the polynomial x2 - 1, then the value of α + ß is
2
1
-1
0
5.
If the zeroes of the quadratic polynomial x² + (a + 1)x + b are 2 and -3, then
a = -7 and b = -1
a = 5 and b = -1
a = 2 and b = -6
a = 0 and b = -6
6.
The given linear polynomial y = f(x) has
2 zeroes
1 zero and the zero is 3
1 zero and the zero is 4
No zero
7.
The zeroes of the quadratic polynomial16x2 - 9 are
\(\frac{3}{4}, \frac{3}{4}\)
\(-\frac{3}{4}, \frac{3}{4}\)
\(\frac{9}{16}, \frac{9}{16}\)
\(-\frac{9}{16}, \frac{9}{16}\)
8.
If one zero of the polynomial kx2 +3x+ k is 2, then the value of k is
\(-\frac{6}{5}\)
\(\frac{6}{5}\)
\(\frac{5}{6}\)
\(-\frac{5}{6}\)
9.
If the two zeroes of a quadratic polynomial are \(\pm \sqrt{5}\), then the quadratic polynomial is
x2 + 5
\((x+\sqrt{5})^2\)
4(x2 - 5)
\(x^2-\sqrt{5}\)
10.
If the square of difference of the zeroes of the quadratic polynomial x2 + px + 45 is equal to 144, then the value of p is
\(\pm9\)
\(\pm12\)
\(\pm15\)
\(\pm18\)
11.
A quadratic polynomial, whose zeroes are -3 and. 4, is
x2-x+12
x2+x+12
\( \frac{x ^{2}}{2}-\frac{x}{2}-6\)
2x2 + 2x - 24
12.
if \(\alpha\) and \(\beta\)are zeroes and the polynomial f(x) = x2 - x - 4 value of \(\frac{1}{\alpha}+\frac{1}{\beta}-\alpha \beta\)
\(\frac{15}{4}\)
\(\frac{-15}{4}\)
4
15
13.
If one of the zeroes of the quadratic polynomial (k - 1)x2 + kx + 1 is -3, then the value of k is
\(\frac{4}{3}\)
\(\frac{-4}{3}\)
\(\frac{2}{3}\)
\(\frac{-2}{3}\)
14.
Find the quadratic polynomial whose zeros are 2 and -6.
x2 + 4x – 12
x2 + 4x + 12
x2 – 4x – 12
x2 – 4x + 12
15.
If the two zeroes of the quadratic polynomial 7x2 – 15x – k are reciprocals of each other, the value of k is:
1/7
7
-7
5
16.
If one zero of the polynomial x2+ kx+18 is double the other zero then k =?
±3
9
3
±9
17.
If sum of the zeroes of the polynomial is 4 and their product is 4, then the quadratic polynomial is
x2 + 2x + 2
x2 + 4x + 4
x2 – 4x + 4
x2 – 2x + 2
18.
If (x + 1) is a factor of x2 – 3ax + 3a – 7, then the value of a is:
-2
1
-1
0
19.
A fourth degree polynomial is called
Cubic polynomial
A bi-quadratic polynomial
Binomial
Quadratic polynomial
20.
α and β are the zeroes of the polynomial 5x2 – 7x + 2, then sum of their reciprocals is::
7/2
14/25
7/5
2/5
21.
If sum of the squares of zeros of the quadratic polynomial f(x) = x2 – 8x + k is 40, find the value of k.
14
12
-14
-12
22.
If one zero of 2x2 – 3x + k is reciprocal to the other, then the value of k is :
-3
2
-3/2
-2/3
23.
If -√5 and √5 are the roots of the quadratic polynomial. Find the quadratic polynomial
(x-5)(x+5)
x2 – 25
x-5
x2 – 5
24.
The number of polynomials having zeroes -2 and 5 is:
1
3
2
more than 3
25.
Which of the following is not the graph of a quadratic polynomial?
-q.png)
-q.png)
-q.png)
-q.png)
1.
(c)
15
2.
(a)
3, \(\frac{-3}{2}\)
3.
(a)
x2 + 5x + 6
4.
(d)
0
5.
(a)
a = -7 and b = -1
6.
(b)
1 zero and the zero is 3
7.
(b)
\(-\frac{3}{4}, \frac{3}{4}\)
8.
(a)
\(-\frac{6}{5}\)
9.
(c)
4(x2 - 5)
10.
Given that \( f(x)=x^{2}+p x+45 \)
Then, \( \alpha+\beta=\frac{-p}{1}=-p \) and \(\alpha \beta=\frac{45}{1}=45\)
According to given condition,
\((\alpha-\beta)^{2}=144 \)
\(\Rightarrow(\alpha+\beta)^{2}-4 \alpha \beta=144 \)
\(\Rightarrow \quad(-p)^{2}-4(45)=144 \Rightarrow p^{2}=144+180\)
\(\Rightarrow p^{2}=324 \Rightarrow p=\pm 18\)
11.
(c)
\( \frac{x ^{2}}{2}-\frac{x}{2}-6\)
12.
(a)
\(\frac{15}{4}\)
13.
Given that, one of the zeroes of the quadratic polynomial say p(x) = (k -1)x2 + kx + 1 is -3, then
p(-3)=0
\( \Rightarrow\) (k -1)(-3)2 + k(-3) + 1= 0
14.
(a)
x2 + 4x – 12
15.
(b)
7
16.
(d)
±9
17.
(c)
x2 – 4x + 4
18.
(b)
1
19.
(b)
A bi-quadratic polynomial
20.
(a)
7/2
21.
(b)
12
22.
(b)
2
23.
(d)
x2 – 5
24.
(d)
more than 3
25.
(d)
-q.png)
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