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Amiraneli [1.4K]
3 years ago
10

According to the Rational Root Theorem, Negative two-fifths is a potential rational root of which function?

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

<h2>Neither expression satisfies the given rational root.</h2>

Step-by-step explanation:

To find the right answer, we just need to replace the given root in each expression and see which one gives zero.

<h3>First expression.</h3>

f(x)=4x^{4} -7x^{2} +x+25\\f(-\frac{2}{5})= 4(-\frac{2}{5})^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+25=\frac{64}{625}-\frac{28}{25} -\frac{2}{5} +25 \approx 23.58

<h3>Second expression.</h3>

f(x)=9x^{4}-7x^{2} +x+10=9(-\frac{2}{5} )^{4}  -7(-\frac{2}{5} )^{2} +\frac{2}{5} +10 \approx 9.5

<h3>Third expression.</h3>

f(x)=10x^{4}-7x^{2} +x+9=10(-\frac{2}{5} )^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+9 \approx 7.7

<h3>Fourth expression.</h3>

f(x)=25x^{4}-7x^{2}  +x+4=25(-\frac{2}{5} )^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+4 \approx 3.12

Therefore, neither expression satisfies the given rational root.

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Step-by-step explanation:

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Find the total cost, to the nearest cent, for a sweater that cost $22.95 with an additional 5.5% tax sale
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Use the factoring to find the solution to the following equation
NikAS [45]

Hello from MrBillDoesMath!

Answer:  Choice C, -(3 +2/3)

Discussion:

Start with

13x^2 + 56x + 75 =  4x^2 -10x - 46

Subtract 4x^2 from both sides:

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Add 10x to both sides

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Thank you,

MrB


6 0
3 years ago
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