Find the zeroes of the polynomial f(x)= x³-5x²-16x + 80, if it is given that the product of its two zeroes is 12.
please help and don't write wrong answers
class 10 polynomiala
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Find the zeroes of the polynomial f(x)= x³-5x²-16x + 80, if it is given that the product of its two zeroes is 12.
please help and don't write wrong answers
class 10 polynomiala
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Let f(x)=x3−5x2−16x+80
f(x)=0⇒x3−5x2−16x+80=0
⇒x2(x−5)−16(x−5)=0
⇒(x−5)(x2−16)=0
⇒(x−5)(x2−42)=0
⇒(x−5)(x+4)(x−4)=0
⇒x=4,−4,5
∴ the zeroes of the polynomial are 4,−4,5
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