Polynomials Test

Result

Polynomials Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

One of the zeroes of the polynomial x² + 2x – 3 is – 3. Which of the following options is the other zero?

A
– 1

B
3

C
2

D
1

Solution

The polynomial x² + 2x – 3 = x² + 3x – x – 3
= x(x + 3) (– 1) (x + 3)
= (x – 1) (x + 3)
⇒ x = 1 or x = – 3
Hence, 1 is the other zero of x² + 2x – 3.
Question 2
1 / -0

Factorise: x² – (y + z) x + yz

A
(x – y) (x + z)

B
(x + y) (z + x)

C
(x – y) (x – z)

D
(x – z) (z – y)

Solution

x² – (y + z) x + zy
= x² – xy – zx + zy
= x(x – y) – z (x – y)
= (x – y) (x – z)
Question 3
1 / -0

One of the zeroes of the polynomial x² – 10x + 21 is 3. Which of the following options is the other zero?

A
- 3

B
21

C
7

D
- 10

Solution

Factorising x² – 10x + 21, we get
x² – 7x – 3x + 21
= x(x – 7) – 3(x – 7)
= (x – 7) (x – 3)
⇒ x = 7 or x = 3
Hence, the other zero is 7
Question 4
1 / -0

Factorise x² - 5x + 4.

A
(x - 4)(x + 1)

B
(x - 4)(x - 1)

C
(x + 4)(x + 1)

D
(x + 4)(x - 1)

Solution

Factors of x² - 5x + 4
= x² - 4x - x + 4
= x(x - 4) - 1(x - 4)
= (x - 4)(x - 1)