write a cubic polynomial whose zeroes are add up to 12 and are in ration 1:2:3
Answers
Given : a cubic polynomial whose zeroes add upto 12 and are in the ratio 1:2:3
To find : cubic polynomial
Solution:
Let say zeroes are
a , 2a & 3a
Sum of zeroes a + 2a + 3a = 6a
6a = 12
=> a = 2
Zeroes are 2 , 4 , 6
Cubic polynomial
= (x - 2)(x - 4)(x - 6)
= (x - 2)(x² - 10x + 24)
= x³ - 10x² + 24x - 2x² + 20x - 48
= x³ - 12x² + 44x - 48
x³ - 12x² + 44x - 48 is the cubic polynomial
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Step-by-step explanation:
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