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Julli [10]
2 years ago
11

What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2

Mathematics
1 answer:
OverLord2011 [107]2 years ago
8 0

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

<h3>How to write the polynomial?</h3>

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ1

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16 flowers are yellow
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One bottle contains 341 ml of juice. Céline buys 2 cases of 24 bottles of juice. Nicole buys 3 cases of 12 bottles of juice. Who
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Answer: Celine, 4092 ml

Step-by-step explanation:

Given

1 bottle contains 341 ml Juice

Celine buys 2 cases of 24 bottles i.e. a total of 48 bottles

Nicole buys 3 cases of 12 bottles i.e. a total of 36 bottles

Amount of Juice Celine has

\Rightarrow 48\times 341=16,368\ ml  

Amount of Juice Nicole has

\Rightarrow 36\times 341=12,276\ ml

Thus, Celine has more juice than Nicole

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7 0
3 years ago
Eyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a g
9966 [12]

Answer:

the  money spend on tomatoes is $4.20

Step-by-step explanation:

The computation of the money spend on tomatoes is shown below

Let the money spend on tomatoes be x

So

2 \frac{3}{4} \times \$1.32 + 1\frac{1}{2} \times \$1.20 + x = \$9.63\\\\

$3.63 + $1.80  + x = $9.63

x = $9.63 - $3.63 + $1.80

= $4.20

Hence, the  money spend on tomatoes is $4.20

4 0
2 years ago
8c^(2)+6c-2c^(2)-5c
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Answer:

6c^2 + c

Step-by-step explanation:

8^2 - 2c^2= 6c^2

6c-5c = c

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HELP!! PLEASE!!! THANK YOU!!
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Answer:

C. 8x - 3y = 5

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7 -8x + 3y = 2

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Divide by -1 to each number

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