唔識做功課22

2014-07-04 3:10 am
Factorize the following polynomials if possible

a) x^2-7x+10
b) x^2-10-3x
c) x^2+7x+6
d) x^2-5x-6
e) x^2-x-6
f) x^2-x+6
g) 2a^2-24a+36

回答 (2)

2014-07-04 3:24 am
✔ 最佳答案

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哈哈哈,呢個《唔識做功課》系列繼續:

Factorize the following polynomials if possible

a) x² - 7x + 10 = (x - 2)(x - 5)

b) x² - 10 - 3x = x² - 3x - 10 = (x - 5)(x + 2)

c) x² + 7x + 6 = (x + 1)(x + 6)

d) x² - 5x - 6 = (x - 6)(x + 1)

e) x² - x - 6 = (x - 3)(x + 2)

f) x² - x + 6 cannot be factorized.
If the question is x² + x - 6, then x² + x - 6 = (x + 3)(x - 2)

g) 2a² - 24a + 36
= 2(a² - 12a + 18)
= 2(a² - 12a + 36 - 18)
= 2[(a - 6)² - (3√2)²]
= 2(a - 6 + 3√2)(a - 6 - 3√2)
2014-07-24 12:17 am
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