(a) Give two quadratic polynomials in one variable which can be factorized so that their difference is a quadratic polynomial which can be factorized.
(b) Give two quadratic polynomials in one variable which can be factorized so that their difference is a quadratic polynomial which cannot be factorized.
More about Factorization
2012-10-22 4:26 am
回答 (1)
2012-10-22 5:52 am
✔ 最佳答案
1.Two polynomials :
f(x) = 2x² - x - 1 = (2x + 1)(x - 1)
g(x) = x² + 2x + 1 = (x + 1)²
The difference of the two polynomials, f(x) - g(x)
= x² - 3x - 2
= (x - 2)(x - 1)
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2.
Two polynomials :
f(x) = 2x² - x - 3 = (2x - 3)(x + 1)
g(x) = x² - 5x + 6 = (x - 2)(x - 3)
The difference of the two polynomials, f(x - g(x)
= x² + 4x + 9
(cannot be factorized)
參考: 土扁
收錄日期: 2021-04-13 19:04:18
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