1.is 31/75 is terminating decimal or not ? give reason 2.write quadratic polynomial with zeroes 2,-3. 3.check whethere 8 can end with digit 0 for any natural number n
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1. To check whether 31/75 is terminating or not, you have to do the division.
31/75 = 0.41333...
You can see that the 3 is repeating.
So it is a non-terminating repeating decimal.
2. The polynomial with zeroes 'a' and 'b' is x² - (a+b)x + ab = 0
Here, the given roots are 2 and -3.
So the polynomial is:
x² - (2+(-3))x + 2×(-3) = 0
⇒ x² - (-1)x + (-6) = 0
⇒ x² + x - 6 = 0
3. Third question is not clear.
31/75 = 0.41333...
You can see that the 3 is repeating.
So it is a non-terminating repeating decimal.
2. The polynomial with zeroes 'a' and 'b' is x² - (a+b)x + ab = 0
Here, the given roots are 2 and -3.
So the polynomial is:
x² - (2+(-3))x + 2×(-3) = 0
⇒ x² - (-1)x + (-6) = 0
⇒ x² + x - 6 = 0
3. Third question is not clear.
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