Question

1. Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficient.


​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

This question does not have zero it is having the remainder when divided by (x-1). Check the Question.

Answer 2

Answer:

• 1/2 & 1/2 are the zeroes.

Step-by-step explanation:

We have:

• 4s² - 4s + 1

To find:

• Zeroes.
• Verify relationship between the zeroes and the coefficient.

Solution:

=> 4s² - 4s + 1 = 0

=> 4s² - 2s - 2s + 1 = 0

=> 2s(2s - 1) - 1(2s - 1) = 0

=> (2s - 1) (2s -1) = 0

=> (2s - 1) = 0 & (2s - 1) = 0

=> s = 1/2 & s = 1/2

∴ The zeroes are 1/2 and 1/2.

Sum of zeroes:

=> α + β = -b/a

=> 1/2 + 1/2 = -(-4/4)

∴ 1 = 1

Product of zeroes:

=> α × β = c/a

=> 1/2 × 1/2 = 1/4

∴ 1/4 = 1/4