Write a quadratic polynomial the sum and product of whose zeroes are 3 and 2 respectively
Answers
Answered by
6
Answer:
x^2-3x+2
Step-by-step explanation:
a quadratic polynomial is
x^2-(sum of zeroes)x+product of zeroes
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Answered by
1
Step-by-step explanation:
If zeros of quadratic polynomial f(x) are know, then find required polynomial by following formula
Let f(x)=k{x
2
−(sum of zeros)+x+product of zeros},
where k=a real number
Let f(x) be a polynomial
Sum and product of whose zeros are −3 and 2 respectively
f(x)=k[x
2
−(−3)x+2]=k[x
2
+3x+2] (∵k=real number)
Thus required polynomial f(x)=x
2
+3x+2
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