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choli [55]
3 years ago
14

The polynomial of degree 5, P ( x ) , has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

multiplicity 1 at x = − 2 . Find a possible formula for P(x). I got x^5-5x^4-2x^4+3x^2, and I got it wrong. :(
Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

Answer:

Step-by-step explanation:

(x-3)(x-3)(x²)(x+2)

(x²-6x+9)(x³+2x²)

x^5+2x^4-6x^4-12x^3+9x^3+18x^2

x^5 - 4x^4 - 3x^3 +18x^2

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Consider the arithmetic sequence 13, 24, 35, ....
Nostrana [21]

Answer:  27

Step-by-step explanation:

The given sequence : 13, 24, 35, ....

Here, first term : a= 13

Common difference: d=24-13 =11

The nth term of arithmetic sequence is given by :-

a_n=a+(n-1)d

It is given that the nth term is 299, so put a_n=299, a=13 ; d=11

299=13+(n-1)11

Subtract 13 from both sides , we get

286=(n-1)11

Divide both sides by 11, we get

26=n-1

Add 1 on both sides , we get

n=27

Hence, the value of n= 27

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3 years ago
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tino4ka555 [31]

Answer:

Step-by-step explanation:

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3 years ago
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There are two unknowns you are trying to find, and you cannot express one in terms of the other. Describe how you could use alge
serious [3.7K]

Answer:

When you solve systems with two variables and therefore two equations, the ... of any variable is 1, which means you can easily solve for it in terms of the other ... In the substitution method, you use one equation to solve for one variable and ... Look for a variable with a coefficient of 1 … that's how you'll know where to begin.

Step-by-step explanation:

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3 years ago
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3 years ago
A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?
Stells [14]

Answer:

11 inches

Step-by-step explanation:

A rectangle's perimeter can be found using:

p=2l+2w

We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

58=2(18)+2w

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3 years ago
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