Polynomials Test

Result

Polynomials Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

If quotient = 3x² – 2x + 1, remainder = 2x – 5 and divisor = x + 1, what is the dividend?

A
3x³ – x² + x – 3

B
3x³ – x² – x – 3

C
3x³ + x² – x – 3

D
3x³ + x² + x – 4

Solution

Dividend = Divisor × Quotient + Remainder
= (x + 1) × (3x² – 2x + 1) + (2x - 5)
= 3x³ + x² + x – 4
Question 2
1 / -0

Factorise a^2x – b^2x.

A
(a^x + b^x)(a^x – b^x)

B
(a^x – b^x)²

C
(a^x + b^x)(a² – b²)

D
(a^x – b^x)(a² + b²)

Solution

By using the identity x² - y² = (x + y)(x - y),
We get
(a^x)² - (bx)² = (a^x + b^x)(a^x – b^x)
Question 3
1 / -0

One factor of x² + ax – 6 = 0 is (x –1) and x² – 9x + b = 0. Find the value among the given options which is equal to a + b.

A
13

B
15

C
11

D
10

Solution

x² + ax – 6 = 0
12 + a(1) – 6 = 0
a = 5

x² – 9x + b = 0
1² – 9(1) + b = 0
b = 8

∴ a + b = 5 + 8 = 13
Question 4
1 / -0

If p = (2 - a), then a³ + 6 ap + p³ - 8 is

A
3

B
2

C
1

D
0

Solution

a + P + (- 2) = 0

⇒ a³ + p³ + (- 2)³ = 3 (a) (p) (-2)

a³ + p³ - 8 + 6ap
Question 5
1 / -0

If a + b+ c = 3x, find the value of (x - a)³ + (x - b)³ + (x - c)³ - 3 (x - a) (x - b) (x - c)

A
3

B
2

C
1

D
0

Solution

a + b+ c - 3x = 0 or
3x - a- b - c = 0

⇒ (x - a) + (x - b) + (x - c) = 0

⇒ (x - a)³ + (x - b)³ + (x - c)³

- 3 (x - a) (x - b) (x - c) = 0

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Polynomials Test - 1

Result

Polynomials Test - 1

Score

-

Rank

-

SHARING IS CARING

Question 1

3x3 – x2 + x – 3

3x3 – x2 – x – 3

3x3 + x2 – x – 3

3x3 + x2 + x – 4

Solution

Question 2

(ax + bx)(ax – bx)

(ax – bx)2

(ax + bx)(a2 – b2)

(ax – bx)(a2 + b2)

Solution

Question 3

13

15

11

10

Solution

Question 4

3

2

1

0

Solution

Question 5

3

2

1

0

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.

3x³ – x² + x – 3

3x³ – x² – x – 3

3x³ + x² – x – 3

3x³ + x² + x – 4

(a^x + b^x)(a^x – b^x)

(a^x – b^x)²

(a^x + b^x)(a² – b²)

(a^x – b^x)(a² + b²)