Question

1. Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
4s²-4s+1​

Answer 1

Answer:

Given ,

quadratic polynomial = 4s²- 4s +1= q(y)

to find the zeroes of the given quadratic polynomial,

q(y) = 0

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, 1/2

therefore, the zeroes of the polynomial = 1/2,1/2

now,

sum of the zeroes = 1/2 + 1/2 = 2/2 = -(co-efficient of s)

                                                              (co-efficient of s²)

product of the zeroes = 1/2(1/2) = 1/4 = constant term / coefficient of s²

Step-by-step explanation:

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Answer 2

Answer:

give

Step-by-step explanation:

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