if 1 zero of the polynomial x3 - 23x2 + 142x - 120 is 1, find the other 2 zeroes.
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Answered by
7
if one zero is 1
then the polynomial x³-23x²+142x-120 is exactly divisible by x-1
so we divide this polynomial with x-1 to get x²-22x+1
then the other two zeroes are.
x²-22x+120
= x²-12x-10x+120
=x(x-12)-10(x-12)
= (x-12)(x-10)
x= 12 and 10
then the polynomial x³-23x²+142x-120 is exactly divisible by x-1
so we divide this polynomial with x-1 to get x²-22x+1
then the other two zeroes are.
x²-22x+120
= x²-12x-10x+120
=x(x-12)-10(x-12)
= (x-12)(x-10)
x= 12 and 10
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5
Hey
Here is ur answer
Hope it helps
Here is ur answer
Hope it helps
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