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Worksheets

X Polynomials

Total questions: 10

Worksheet time: 28mins

Name
Class
Date
1.

The degree of the polynomial (x + 1)(x2 – x – x4 +1) is

a)

2

b)

3

c)

4

d)

5

2.

If the zeroes of the quadratic polynomial x2 + (a + 1)x + b are 2 and –3, then

a)

a = –7, b = –1

b)

a = 5, b = –1

c)

a = 2, b = – 6

d)

a = 0, b = – 6

3.

If one of the zeroes of the quadratic polynomial (k – 1)x2 + kx + 1 is –3, then the value of k is

a)

4/3

b)

-4/3

c)

2/3

d)

-2/3

4.

The value of p for which the polynomial x3 + 4x2 –px + 8 is exactly divisible by (x – 2) is

a)

0

b)

3

c)

5

d)

16

5.

If α and β are zeroes of x2 – 4x + 1, then 1/α + 1/β – αβ is

a)

3

b)

5

c)

-5

d)

-3

6.

If α, β are zeroes of x2 –6x + k, what is the value of k if 3α + 2β = 20?

a)

-16

b)

8

c)

2

d)

-8

7.

The zeroes of polynomial  3x2+11x−4 3x^2+11x-4\   are

a)

1/3, -4

b)

-1/3, 4

c)

1/3, 4

d)

-1/3, -4

8.

A quadratic polynomial whose product and sum of zeroes are -1/2 and -1/12 respectively is

a)

6x2+x−126x^2+x-12

b)

6x2−x−126x^2-x-12

c)

12x2+x−612x^2+x-6

d)

12x2−x−612x^2-x-6

9.

A quadratic polynomial whose zeroes are 2 and -3/2 is

a)


2x2−4x−32x^2-4x-3

b)

2x2+x−62x^2+x-6

c)

2x2−x−62x^2-x-6^{ }

d)

2x2−2x−62x^2-2x-6

10.

 x2+99x+127x^2+99x+127  , the zeroes of this polynomial are


a)

both positive

b)

both negative

c)

one positive and one negative

d)

both equal