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# how many linear factors each polynomial has?

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9. State how many linear factors each polynomial has.

1.   f(x) = x3 + 24x – 2x + 6 = 0

2.   f(x) = x16 + 72x6 + x = 0

3.   f(x) = (x + 2)

Mar 25, 2019

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$$\text{a linear factor is of the form }(x-a)$$

$$f(x) = x^3 + 24x^2 - 2x + 6 \text{ (I'm assuming what was written was a typo)}\\ \text{This doesn't seem to have any linear factors}$$

$$f(x) = x^{16}+72x^6 + x = x(x^{15}+72x^5+1)\\ \text{This has one linear factor, }x$$

$$f(x)=(x+2)\text{ clearly has a single linear factor which is itself}$$

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Mar 25, 2019