Free Printable Ch-02 POLYNOMIAL (10th) by KV Dwarka & Gandhidham, Gujarat

1.

For what value of k, (–4) is a zero of the polynomial $x^2–x–(2k+2)?$

a)

20

b)

10

c)

9

d)

5

2.

For what value of p, (–2) is a zero of the polynomial $x^2–2x–(7p+1)$

a)

1

b)

7

c)

-1/7

d)

0

3.

If (x + a) is a factor of $2x^2+2ax+5x+10.$ What is the value of 'a' ?

a)

-5

b)

-2

c)

2

d)

5

4.

What is the degre of zero polynomial?

a)

1

b)

0

c)

2

d)

Not defined

5.

What is the degree of bi-quadratic polynomial?

a)

4

b)

3

c)

2

d)

1

6.

What are the zeroes of the polynomial $x^2+2x+1$ ?

a)

1,1

b)

1/2, 1/2

c)

-1, -1

d)

0, 1

7.

What are the zeroes of the polynomial $x^2–x–6$ ?

a)

2,3

b)

-2,-3

c)

-3,2

d)

3, -2

8.

If the sum and product of zeroes are 3 and –2 respectively then the polynomial is

a)

$x^2+1$

b)

$x^2-3x+2$

c)

$x^2-3x-2$

d)

$x^2+3x+2$

9.

The number of zeroes of the given polynomial are

a)

1

b)

2

c)

3

d)

0

10.

The degree of the polynomial $(x+1)(x^2–\ x–\ x^4+1)$ .

a)

5

b)

4

c)

3

d)

2

11.

What is the necessary condition for the polynomial, $p(x)=ax^3+bx^2+cx+d$ , to be a cubic polynomial.

a)

a≠0

b)

b≠0

c)

c≠0

d)

d≠0

12.

What is the necessary condition for the polynomial, $p(x)=ax^3+bx^2+cx+d$ , to make it a quadratic polynomial.

a)

a≠0

b)

a=0

c)

b=0

d)

c=0

13.

What is the condition on degree of r(x) in the division algorithm of polynomial i.e. p(x) = g(x).q(x) + r(x)?

a)

degree of r(x) > degree of p(x)

b)

degree of r(x) > degree of g(x)

c)

degree of r(x) < degree of g(x)

d)

degree of r(x) > degree of q(x)

14.

The graph of y = f(x) is given in figure. How many real zeroes are there of f(x)?

a)

0

b)

1

c)

2

d)

3

15.

The shape of a quadratic polynomial is

a)

line

b)

Point

c)

Circle

d)

Parabola

16.

Which of the following is a polynomial?

a)

$x^2-x^{-2}+3$

b)

$x^{\frac{3}{2}}+x-4$

c)

0

d)

$\frac{1}{x^2+2x-3}$

17.

If $\alpha,\ \beta\ and\ \gamma\$ are zeroes of a cubic polynomial, $p\left(x\right)=ax^3+bx^2+cx+d$ , then which of the following is a relationship between zeroes and its coefficients.

a)

$\alpha\beta+\beta\gamma+\gamma\alpha\ =\frac{c}{a}$

b)

$\alpha\beta+\beta\gamma+\gamma\alpha\ =\frac{-b}{a}$

c)

$\alpha\beta+\beta\gamma+\gamma\alpha\ =\frac{-d}{a}$

d)

$\alpha\beta+\beta\gamma+\gamma\alpha\ =\frac{-c}{a}$

18.

Which is an example of a linear polynomial?

a)

$x²-5$

b)

$6x+4$

c)

$5x⁵$

d)

$2x³-9x²$

19.

If α and β are zeroes of x²+ 8x+15, then what is the value of α² + β²

a)

25

b)

8

c)

15

d)

34

20.

If $p\left(x\right)=3x^2+2x-21$ then what is the product of its zeroes ?

a)

7

b)

-7

c)

3

d)

-3

Ch-02 POLYNOMIAL (10th) by KV Dwarka & Gandhidham, Gujarat

Total questions: 20

Worksheet time: 18mins

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