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anyanavicka [17]
2 years ago
9

Find a polynomial equation that has roots of -2 and double root 3

Mathematics
1 answer:
lbvjy [14]2 years ago
6 0

Answer:

x³ + 2x² -3x +6

Step-by-step explanation:

We need to find the polynomial whose roots are ,

  • -2 , √3 and √3.

Say of we have zeroes as , α , β and γ , then the polynomial is ,

=> p(x) = k[ (x - α ) ( x - β) ( x - γ) ]

  • where k is constant. Substituting the respective values , we have ,

=> p(x) = k [ ( x - (-2)) ( x - √3) ( x -√3)]

=> p(x) = k[ (x+2)(x² - 3)]

=> p(x) = k[ x(x² - 3) + 2(x² - 3) ]

=> p(x) = k[ x³ - 3x + 2x² - 6 ]

=> p(x) = k[ x³ + 2x² - 3x - 6 ]

<h3><u>Hence </u><u>the</u><u> </u><u>cubic </u><u>polynomial</u><u> is</u><u> </u><u>x³</u><u> </u><u>+</u><u> </u><u>2</u><u>x</u><u>²</u><u> </u><u>-</u><u> </u><u>3x</u><u> </u><u>+</u><u> </u><u>6</u><u> </u><u>.</u></h3>
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Bumek [7]

Answer:

True

Step-by-step explanation:

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4 0
3 years ago
When graphing 5x-3y&gt;30 do we shade above or below?
Hatshy [7]

Answer:

below

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
500g:3kg.Give answer in lowest term​
Thepotemich [5.8K]

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

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So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

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Hope this helped :)

5 0
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