Question

find the sum and product of zeros of polynomial x²-x-2​

Answer 1

EXPLANATION.

Quadratic equation,

F(x) = x² - x - 2.

As we know that,

Sum of zeroes of quadratic equation,

⇒ α + β = -b/a.

⇒ α + β = -(-1) = 1.

Products of zeroes of quadratic equation,

⇒ αβ = c/a.

⇒ αβ = -2.

                                                                                                                     

MORE INFORMATION.

Quadratic expression.

A polynomial of degree two of the form ax² + bx + c (a ≠ 0) is called a quadratic expression in x.

The quadratic equation.

ax² + bx + c (a ≠ 0) has two roots, given by

α = -b +√D/2a.

β = -b - √D/2a.

D = Discriminant.

D = b² - 4ac.

Answer 2

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Quardic equation,

F ( X ) = X² - x - 2

As we know that :-

sum of zeroes of quadratic equation,

➝α + β = -b/a.

➝α + β = - ( -1 ) = 1.

Prouducts of zeroes of quadratic equation,

➝αβ =c/a

➝αβ = -2