What are the factors of x² - 100?

Solution :

Given:

Quadratic equation is x² - 100 with degree 2.

As we know that the standard form of the quadratic equation is

ax² + bx + c = 0 ....(1)

So comparing the given equation with the equation 1 we get

a = 1 , b = 0 , c = 100

Now solving the quadratic equation by factorising

⇒ x² - 100 = 0

For factorising first split the middle term 0 as -10x and 10x as

-10x + 10x = 0 and (-10x) (10x) = -100 x²

⇒  x² - 10x + 10x - 100 = 0

⇒  x(x - 10) + 10(x - 10) = 0

⇒  (x + 10) (x - 10) = 0

Hence, the value of x is -10 and 10.

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What are the factors of x²- 100?

Summary:

By solving the given quadratic equation x² - 100 with factorising method we get the two linear factors as(x + 10) and (x - 10) .