what are
the zeroes of
quadratic polynomial x square+7x+12
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S O L U T I O N :
We have quadratic polynomial p(x) = x² + 7x + 12 & zero of the polynomial p(x) = 0;
⇒ x² + 7x + 12 = 0
⇒ x² + 4x + 3x + 12 = 0
⇒ x(x + 4) +3(x + 4) = 0
⇒ (x + 4)(x + 3) = 0
⇒ x + 4 = 0 Or x + 3 = 0
⇒ x = -4 Or x = -3
Thus,
The α = -4 & β = -3 are two zeroes of the given polynomial .
Now,
As we know that for verification we can use two types method :
- Sum of zeroes
- Product of zeroes .
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