how do you factor this 3rd degree cubic expression?

👨🏻‍🏫 學術台數學

[匿名]

2009-06-29 5:31 pm

7x³ - 4x² + 8x

please show me what you did step by step(explain), it would be much appreciated.. thank you

更新1:

oh so you just factor out an x and solve it like if it were a quadratic, thanks!

更新2:

oh so you just factor out an x and solve it like if it were a quadratic, thanks!

回答 (4)

Engr. Ronald

2009-06-29 5:48 pm

✔ 最佳答案

7x³ - 4x² + 8x
=x(7x^2-4x+8) answer//

參考: http://www.mathway.com/answer.aspx?p=calg?p=7xSMB073SMB15-SMB154xSMB072SMB15+SMB158x?p=213?p=?p=?p=?p=?p=?p=?p=0?p=?p=

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An ESL Learner

2009-06-29 5:43 pm

7x^3 - 4x^2 + 8x
= x(7x^2 - 4x + 8)

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[匿名]

2009-06-29 5:40 pm

Well, the first thing to do is look for common factor. With this equation, you can see that there is an x in all parts, so you factor out the x, so it will be

x (7x^2 - 4x + 8)

This is also the final answer because you can't factor out anything else.

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[匿名]

2009-06-29 5:38 pm

1. Find factors common to all terms. Here, the common factor is x
7xÂ³ - 4xÂ² + 8x = xÂ·(7xÂ² - 4x + 8)

2. Now you have to factor the quadratic. Find two numbers whose produce is aÂ·c and whose sum is b. Here, aÂ·c = 7Â·8 = 56. b = -4.

There are no numbers that will work. Therefore it is factored fully as xÂ·(7xÂ² - 4x + 8)

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