get all the zeroes,
when one of the zero is -2, polynomial given is f(x) = x3 + 13×2 + 32x + 20
rd Sharma class 10th polynomials 3rd exercise
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Solution:
Given,
f(x)= x3 + 13x2 + 32x + 20
And -2 is one of the zeros. So, (x + 2) is a factor of f(x),
Performing the division algorithm, we get
⇒ f(x)= (x2 + 11x + 10)( x + 2)
So, by putting x2 + 11x + 10 = 0, we can get the other 2 zeros.
⇒ (x + 10)(x + 1) = 0
∴ x = -10 or -1
Hence, all the zeros of the polynomial are -10, -2 and -1.