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mrs_skeptik [129]
3 years ago
13

Find a polynomial f(x) of degree 4 that has the following zeros. 0, -5, 8, -2

Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer:

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given zeros are 0 ,-5,8,-2

x =0 , x=-5 ,x=8 and x=-2

(x-0) , ( x+5) , (x-8) and (x+2)

The polynomial function with degree '4'

(x-0)(x-(-5)(x-8)(x-(-2) =0

x ( x+5) (x-8) (x+2) =0

(x² +5x)(x-8)(x+2) =0

(x³ -8 x²+5x² -40 x)(x+2) =0

( x³ -3 x² - 40 x) (x +2) =0

x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0

x⁴ - x³ -46 x² -80x =0

<u><em>Final answer:-</em></u>

The polynomial of the function degree '4'

x⁴ - x³ -46 x² -80x =0    

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2 years ago
A square has the sides length 2k-1 units. An equilateral triangle has the sides of the length k+2 units. the square and the tria
AlladinOne [14]
I think that you assumed that:
2k - 1 = k + 2

However we can't do this, because a square has 4 sides whilst a triangle only has 3 sides. 
This means that we can say
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We multiply by 4 due to 4 sides of the square, and by 3 due to the 4 sides of the triangle.

Lets expand the brackets, and solve it:

4(2k - 1) = 3(k + 2)
8k -4 = 3k + 6
5k -4 = 6    ( subtract both sides by 3x to collect the x values)
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k = 2           (divide both sides by 5 to get what just x is)

So k = 2 units
8 0
3 years ago
Solve by graphing: use any method<br><br> x + y = 6<br><br> x - y = 4
jekas [21]
X+y=6
x-y=4
using these equations we solve for either x or y in one and plug it into that variable in the other equation.
x=y+4 so y+4+y=6 so 2y=2 so y=1
now using y=1 put into first equation. x+1=6 so x=5 
so we know our graph goes through the coordinate point (5,1) then just make an x table and use some values to find the corresponding y coordinate and then do that for at least three points or more if needed to find the best fit for graph. Hope this helps walk you through it! Any questions please just ask! Thank you!
4 0
3 years ago
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