Question

6x^2+x-2 factories
and verify the relationship between the zeros​

Answer 1

Answer:

36=x-2

x=36/2

x=18

Step-by-step explanation:

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Answer 2

Solution :-

→ 6x² + x - 2 = 0

→ 6x² - 3x + 4x - 2 = 0

→ 3x(2x - 1) + 2(2x - 1) = 0

→ (2x - 1)(3x + 2) = 0

So, zeros of given polynomials are ,

→ 2x - 1 = 0

→ 2x = 1

→ x = (1/2)

and,

→ 3x + 2 = 0

→ 3x = (-2)

→ x = (-2)/3

Now, , First Relation is :-

→ Sum of Zeros = - (coefficient of x) /(coefficient of x²)

Putting both values ,

→ (1/2) + (-2/3) = -(1)/6

→ (3 - 4)/6 = (-1)/6

→ (-1)/6 = (-1)/6 ( Hence Verified. )

Second Relation :-

→ Product Of Zeros = Constant Term / (coefficient of x²)

Putting both Values ,

→ (1/2) * (-2)/3 = (-2) / (6)

→ (-1)/3 = (-1)/3 ( Hence Verified. )