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Kay [80]
3 years ago
12

Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros −1, 1, 4, 5 P(x) =

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Answer:

The polynomial is;

x^4-9x^3+19x^2+9x-20

Step-by-step explanation:

Since it has a degree of 4, the highest power is 4

We have four zeros

So this means that each of the linear factors are;

We get this by equating each of the terms to x

(x-1)(x+1)(x-4)(x-5)

(x-1)(x+1) = x^2-1

So we have

(x-4)(x^2-1)

= x^3-x-4x^2 + 4

And lastly, we have

x(x^3-x-4x^2 + 4)-5(x^3-x-4x^2+4)

So we have;

x^4-x^2-4x^3+4x-5x^3+5x+20x^2-20

x^4-9x^3+19x^2+9x-20

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(14+42) divided by 7+4
Svetradugi [14.3K]

Answer:

(14+42) divided by 7+4= 12

Step-by-step explanation:

happy to help ya :)

7 0
3 years ago
Read 2 more answers
Which point lies on the graph of f(x) = -2(x + 3) – 5 A) (-6,1) B) (-6,-8) C) (6,-13) D) (6,-4)
nalin [4]
First you'd work around the parenthesis, getting you a reduced problem of -2x-6-5.

combine like terms to receive -2x-11

now treat the f(x) as Y and you'll get y=-2x-11; toss it onto a graph and plot the individual points (your answer options)

all points except for A do not touch the line, resulting in your answer to be letter A!

hope this helps :)
7 0
4 years ago
Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7,2), and is parallel to the graph of x + 3y = -5
sukhopar [10]

Answer:

The found values are:

A = 1/3

B = -8/3

Step-by-step explanation:

We know that general equation is given by:

y = mx + c

where m is the slope and c is a constant.

x + 3y = -5

y = -(1/3)x - 1/3(5)

Slop of the equation is -(1/3). As parallel line have same slope substitute it in the first equation:

Ax + By = 3

By = -Ax - 3

By = (1/3)x - 3

Hence, A = 1/3

Substitute point (-7,2) into the equation:

B(2) = (1/3)(-7) -3

B(2) = -7/3 - 3

B(2) = -16/3

B = -16/6

B = -8/3

4 0
3 years ago
At a concert, floor tickets are $20 each, and
Pani-rosa [81]

Answer: 352 tickets

Step-by-step explanation:

because multiplying $20 floor tickets by 324 (how many were sold) gives you 6480

subtract from 10000

gives you 3520 (amount made from balcony)

divide by $10

4 0
3 years ago
Read 2 more answers
What's the answer to this? Or how do I figure it out?
trapecia [35]
B.) 14/43 
1&2 =7+7
= 14
Bottam:
14 + 8 +6 + 9 +6
= 43
Lastly
= 14/43

6 0
3 years ago
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