2) Enter a quadratic polynomial which has zeros at 1 and 10.
3) Enter a quadratic polynomial which has a double root at 10.
1)Enter a quadratic polynomial which has zeros at -5 and 10.?
2016-05-12 9:42 am
回答 (2)
2016-05-12 10:00 am
(1)
The quadratic polynomial
= (x + 5)(x - 10)
= x² - 5x - 50
(2)
The quadratic polynomial
= (x - 1)(x - 10)
= x² - 11x + 10
(3)
The quadratic polynomial
= (x - 10)²
= x² - 20x + 100
The quadratic polynomial
= (x + 5)(x - 10)
= x² - 5x - 50
(2)
The quadratic polynomial
= (x - 1)(x - 10)
= x² - 11x + 10
(3)
The quadratic polynomial
= (x - 10)²
= x² - 20x + 100
2016-05-12 10:07 am
If the quadratic polynomial has zero at - 5, you can factorize: (x + 5)
If the quadratic polynomial has zero at 10, you can factorize: (x - 10)
...and it gives us:
= (x + 5).(x - 10)
= x² - 10x + 5x - 50
= x² - 5x - 50
If the quadratic polynomial has zero at 1, you can factorize: (x - 1)
If the quadratic polynomial has zero at 10, you can factorize: (x - 10)
...and it gives us:
= (x - 1).(x - 10)
= x² - 10x - x + 10
= x² - 11x - 18
If the quadratic polynomial has double root at 10, you can factorize: (x - 10).(x - 10)
...and it gives us:
= (x - 10).(x - 10)
= (x - 10)²
= x² - 20x + 100
If the quadratic polynomial has zero at 10, you can factorize: (x - 10)
...and it gives us:
= (x + 5).(x - 10)
= x² - 10x + 5x - 50
= x² - 5x - 50
If the quadratic polynomial has zero at 1, you can factorize: (x - 1)
If the quadratic polynomial has zero at 10, you can factorize: (x - 10)
...and it gives us:
= (x - 1).(x - 10)
= x² - 10x - x + 10
= x² - 11x - 18
If the quadratic polynomial has double root at 10, you can factorize: (x - 10).(x - 10)
...and it gives us:
= (x - 10).(x - 10)
= (x - 10)²
= x² - 20x + 100
收錄日期: 2021-05-01 13:08:46
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https://hk.answers.yahoo.com/question/index?qid=20160512014202AAwhKWV