Math, asked by Avni2770, 8 months ago

If x + 2 is a factor of x square + ax -2 then a =

Answers

Answered by thamilarasi1983siva
0

Hope it will helps u...

Step-by-step explanation:

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Answered by tyrbylent
0

Answer:

α = 1

Step-by-step explanation:

ax² + bx + c = a(x - x_{1})(x - x_{2}) and

x_{1} + x_{2} = - \frac{b}{a}

x_{1} × x_{2} = \frac{c}{a}

~~~~~~~~~

x² + αx - 2

If (x + 2) is factor of given quadratic function, then one of the zero is (- 2)

(- 2) × x_{2} = - 2 ===> x_{2} = 1

- 2 + 1 = - α / 1

α = 1

Thus, given trinomial is

x² + x - 2 = (x - 1)(x + 2)

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