Question

Find product of zeroes of the quadratic polynomial 2x square-5x+2.
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Answer 1

Step-by-step explanation:

Given, the polynomial 2x²-5x + 2

Let, a = 2, b = -5, c = 2

Product of zeros = alpha × beta

alpha × beta = c/a

= 2/2

= 1

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Answer 2

Given Equation

⇒2x² - 5x + 2 = 0

To Find

⇒The Sum and Product of Zeroes

Method :-1

Using factorization Method

⇒2x² - 5x + 2 = 0

⇒2x² - 4x -x + 2 = 0

⇒2x(x - 2) -1( x - 2) = 0

⇒(2x - 1)(x - 2) = 0

⇒2x -1 = 0 and x - 2 = 0

⇒x = 1/2 and x = 2

⇒Let α = 1/2 , β = 2

Sum of Zeroes

⇒(α + β) = 1/2 + 2

⇒(α + β) = (1+4)/2

⇒(α + β) = 5/2

Product Of zeroes

⇒αβ = 1/2 × 2

⇒αβ = 1

Method:- 2

⇒In Equation 2x² - 5x + 2 = 0

⇒a = 2 , b = -5 and c = 2

Sum of zeroes = -b/a

⇒(α + β) = -(-5)/2

⇒(α + β) = 5/2

Product of zeroes = c/a

⇒(αβ) = 2/2

⇒αβ =1