X^3 + 3x^2 -10x factor polynomial and find zero
2 answers:
Here we are provided with an polynomial of degree 3 and we have to factorise it first and then we have to compute it's zeroes.
Given Polynomial:
- x³ + 3x² - 10x
Taking common x from all the 3 terms,
➝ x(x² + 3x - 10)
Factorising through Middle term factorisation,
➝ x(x² + 5x - 2x - 10)
➝ x{x(x + 5) - 2(x + 5)}
➝ x(x - 2)(x + 5)
Hence, Factorised !!
Now equating to 0 to find the zeroes of the poly.
➝ x(x - 2)(x + 5) = 0
That means,
- x = 0
- x - 2 = 0
- x + 5 = 0
So, the zeroes of the polynomial is 0, 2 or -5
And we are done....
Carry On Learning
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