Polynomials Test

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Polynomials Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

A polynomial of degree three is called …...

A
quadratic polynomial

B
linear polynomial

C
zero polynomial

D
cubic polynomial

Solution

Cubic polynomial is the name given to a polynomial of degree three .
Question 2
1 / -0

When x³ - 3x² + 5x - 3 is divided by x² - k , the remainder is 7x + a . Then the value of k is____

A
3

B
2

C
6

D
1

Solution

On long division, we have

Remainder = ( 5 + k)x - 3k - 3 = 7x + a

Equating the coefficient of x , we get

5 + k = 7

⇒ k = 2
Question 3
1 / -0

When the polynomial f(x) = 4x³ + 8x² + 8x + 7 is divided by the polynomial g(x) = 2x² - x + 1, the quotient and the remainder are

A
Quotient = 2x + 5, Remainder = 11x + 2

B
Quotient = x -5, Remainder = 13

C
Quotient = x² - 5, Remainder = 15

D
Quotient = 2x - 5, Remainder = 11x

Solution

By using the long division method,

Quotient = 2x + 5, Remainder = 11x + 2
Question 4
1 / -0

If one of the zeros of f(x) = x³ + 13x² + 32x + 20 is -2 then all its zeros are

A
2, 13, 11

B
4, -2, -10

C
-2, 5, 10

D
-10, -1, -2

Solution

Divide f(x) = x³ + 13x² + 32x + 20 by (x + 2) to obtain the quotient.

x² + 11x + 10 = ( x + 1)(x + 10)

Hence -10, -1, -2 are the zeros.
Question 5
1 / -0

The value of quadratic polynomial f (x) = 2x²- 3x - 2 at x =-2 is …...

A
12

B
-12

C
15

D
16

Solution

Substituting: 2x²- 3x- 2 for x = -2

⇒ 2(-2)²- 3(-2) - 2 = 8 + 6 - 2 =12
Question 6
1 / -0

A fourth degree polynomial is called

A
A bi-quadratic polynomial

B
Quadratic polynomial

C
Cubic polynomial

D
Binomial

Solution

A polynomial of degree 4 is called bi-quadratic polynomial.

A polynomial of degree 2 is called a quadratic polynomial.

A polynomial of degree 3 is called a cubic polynomial.

A polynomial with 2 terms is called a binomial. This has nothing to do with the degree of the polynomial.

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Polynomials Test - 5

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Polynomials Test - 5

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Question 1

quadratic polynomial

linear polynomial

zero polynomial

cubic polynomial

Solution

Question 2

3

2

6

1

Solution

Question 3

Quotient = 2x + 5, Remainder = 11x + 2

Quotient = x -5, Remainder = 13

Quotient = x2 - 5, Remainder = 15

Quotient = 2x - 5, Remainder = 11x

Solution

Question 4

2, 13, 11

4, -2, -10

-2, 5, 10

-10, -1, -2

Solution

Question 5

12

-12

15

16

Solution

Question 6

A bi-quadratic polynomial

Quadratic polynomial

Cubic polynomial

Binomial

Solution

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Quotient = x² - 5, Remainder = 15