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Worksheets

Polynomial

Total questions: 12

Worksheet time: 8mins

Name
Class
Date
1.
If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is
a)
10
b)
–10
c)
5
d)
– 5
2.
Given that two of the zeroes of the cubic polynomial ax3 + bx2 + cx + d are 0, the third zero is
a)
– b/a
b)
b/a
c)
c/a
d)
-–d/a
3.
If one of the zeroes of the quadratic polynomial (k–1) x2 + k x + 1 is –3, then the value of k is
a)
4/3
b)
– 4/3
c)
2/3
d)
–2/3
4.
A quadratic polynomial, whose zeroes are –3 and 4, is
a)
x2 – x + 12 
b)
x2 + x + 12 
c)
x2 – x  –12 
d)
x2 – x – 12 
5.
The zeroes of the quadratic polynomial x2 + 99x + 127 are
a)
both positive
b)
both negative
c)
one positive one negative
d)
both equal
6.
 If α and β are the zeroes of a quadratic polynomial ax 2 + bx + c, then α + β
a)
b/a
b)
- b/a
c)
c/a
d)
-c/a
7.
 If α and β are the zeroes of a quadratic polynomial ax 2 + bx + c, then α × β
a)
b/a
b)
- b/a
c)
c/a
d)
-c/a
8.
If α, β and γ are the zeroes of a cubic polynomial ax3 + bx2 + cx + d, then α+β+γ is
a)
b/a
b)
- b/a
c)
c/a
d)
-d/a
9.
If α, β and γ are the zeroes of a cubic polynomial ax3 + bx2 + cx + d, then αβγ is
a)
b/a
b)
d/a
c)
c/a
d)
−d/a
10.
 If α, β and γ are the zeroes of a cubic polynomial ax3 + bx2 + cx + d, then αβ+γβ+ αγ is
a)
b/a
b)
- b/a
c)
c/a
d)
-d/a
11.
If roots of equation 2x2+ 5x + k are reciprocal to each other ,then k is
a)
5/2
b)
−5/2
c)
−2
d)
2
12.
If 3x2 + kx+ 4 =0 has equal roots , then k is
a)
12
b)
2√3
c)
−2√3
d)
± 2√3