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Varvara68 [4.7K]
3 years ago
11

A polynomial is to be constructed that will touch the x axis at most 5 times. What is the minimum degree of the polynomial?

Mathematics
1 answer:
bonufazy [111]3 years ago
8 0
Touch the x axis means the zeroes (y=0) of theh equation aka the roots aka the solutions
ok, so remember that the degree of the polynomial will be the maximum number of roots so therefor
minimum degreee is 5th degree
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Answer:

a = 1/2

Step-by-step explanation:

<u>Step 1:  Distribute </u>

<u />3 + 0.5(4a + 8) = 9 - 2a

3 + (0.5 * 4a) + (0.5 * 8) = 9 - 2a

3 + 2a + 4 = 9 - 2a

<u>Step 2:  Combine like terms </u>

<u />(3 + 4) + 2a = 9 - 2a

7 + 2a = 9 - 2a

<u>Step 3:  Subtract 7 from both sides </u>

<u />7 + 2a - 7 = 9 - 2a - 7

2a = 2 - 2a

<u>Step 4:  Add 2a to both sides </u>

<u />2a + 2a = 2 - 2a + 2a

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<u>Step 5:  Divide both sides by 4 </u>

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Answer:  a = 1/2

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Step-by-step explanation:

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Answer:

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