VERIFY RELATION BETWEEN ZEROES AND COEFFICIENTS WORKSHEET

Find the zeros of the following polynomials by factorization method and verify the relations between the zeros and the coefficients of the polynomials:

Problem 1 :

2x² + 7/2x + 3/4 = 0

Solution

Problem 2 :

4x² + 5√2x - 3 = 0

Solution

Problem 3 :

2s² - (1 + 2√2)s + √2 = 0

Solution

Problem 4 :

v² + 4√3v - 15 = 0

Solution

Problem 5 :

y² + 3/2√5y - 5 = 0

Solution

Problem 6 :

7y² - 11/3y - 2/3 = 0

Solution

Answer Key

1)  α = -3/2 and β = -1/4

2)  α = 1/2√2 and β = -3/√2

3)  α = 1/2 and β = √2

4)  α = -5√3 and β = √3

5)  α = -2√5 and β = √5/2

6)  α = 2/3 and β = -1/7

Find the zeros of the following polynomials by factorization method and verify the relations between the zeros and the coefficients of the polynomials:

Problem 1 :

4x² - 3x - 1 = 0

Solution

Problem 2 :

3x² + 4x - 4 = 0

Solution

Problem 3 :

5t² + 12t + 7 = 0

Solution

Answer Key

1)  α = -1/4 and β = 1

2)  α = 2/3 and β = -2

3) α = -7/5 and β = -1

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