Question

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​

Answer 1

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

Answer 2

Step-by-step explanation:

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