If 4 is zero of the cubic polynomial x® - 3x - 10x + 24
,
find its other two zeroes.
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Polynomial ⇒x
3
−3x
2
−10x+24
4 is a zero of polynomial so (x−4) will be a factor
Ref. image
⇒x
2
+x−6=0
x
2
+3x−2x−6=0
x(x+3)−2(x+3)=0
(x−2)(x+3)=0
x=2,−3
Other two roots ⇒2,−3
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