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lesya [120]
3 years ago
11

Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3

Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0

Answer:

P(x) = x^{4} - 7x² + 12

Step-by-step explanation:

Given zeros x = 2, x = - 2, x = \sqrt{3}, x = - \sqrt{3}

Then the factors are (x - 2), (x + 2), (x - \sqrt{3} ), (x + \sqrt{3} )

and the polynomial is the product of the factors, that is

P(x) = (x - 2)(x + 2)(x - \sqrt{3} )(x + \sqrt{3} ) ← expand in pairs using FOIL

      = (x² - 4)(x² - 3) ← distribute

     = x^{4} - 3x² - 4x² + 12 ← collect like terms

    = x^{4} - 7x² + 12

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Answer:

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2 years ago
What is 3(x-6)+(4x+12)-6x simplify.
Bezzdna [24]

Answer:

x-30

Step-by-step explanation:

Firstly, you do the first step, which is, 3x-18+4x+12-6x, then you continue simplifying it: 7x-18+12-6x.

Keep it on and on, the next step: x-18+12, add 18 and 12 together you get 30.

So the final answer is x-30

6 0
3 years ago
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Charles bought 24 blow-pops for $7.20. His little sister Tracy wants 11 blow-pops. How much will 11 blow-pops cost?
Norma-Jean [14]

$3.30 because taking the cost of 24, which is $7.20, and dividing is by the amount, 24, you get that one Blow-Pop costs $0.30. Then to find how many 11 costs you just need to multiply $0.30 by 11, and you get $3.30.

8 0
4 years ago
Please help asap and i will give brainliest
Feliz [49]

Answer:

i would say i think it's A if not sorry

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I have no idea what the answer is too this. It is geometry if you didn't know already. I'm really struggling here. If anybody co
creativ13 [48]

Answer:

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3              Add  3 to both sides

5x + 1 + 3 = 6x -3+3     Combine

5x + 4 = 6x                   Subtract 5x from both sides.

5x-5x+4=6x- 5x            Combine

4 = x

===================

y + 10 = 4y + 2               Subtract y from both sides

y-y+10=4y-y+2               Combine

10 = 3y + 2                      Subtract 2 from both sides

10-2=3y+2-2                   combine

8 = 3y                              Divide by 3

8/3 = y

y = 2.67

====================

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

5 0
3 years ago
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