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slava [35]
3 years ago
5

Find the missing coefficient. -___________ y2 − [-5y − y(-7y − 9)] − [-y (15y + 4)] = 0

Mathematics
2 answers:
Luden [163]3 years ago
7 0
  y = 0 
Hope this helps! (:
Allushta [10]3 years ago
7 0

Answer:

Missing Coefficient is -8

Step-by-step explanation:

We are given, _y² - [ -5y - y( -7y -9) ] - [ -y(15y + 4) ] = 0

We have to find missing value.

let missing value be a

ay² - [ -5y - y( -7y - 9) ] - [ -y(15y + 4) ] = 0

ay² - [ -5y + 7y² + 9y ] - [ -15y² - 4y ] = 0

ay² - [ 7y² + 4y ] + 15y² + 4y = 0

ay² - 7y² - 4y + 15y² + 4y = 0

ay² - 7y² + 15y² + 4y - 4y = 0

( a - 7 + 15 )y² = 0

RHS can be written as

( a - 7 + 15 )y² = 0.y²

Now comparing coefficient of both sides we get,

a - 7 + 15 = 0

a + 8 = 0

a = -8

Therefore, Missing Coefficient is -8

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A polynomial function has a root of -4 with multiplicity of 4, a root of -1 with multiplicity of 3, and a root of 5 with multipl
Dmitrij [34]

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To draw this graph, we start from the left in quadrant 3 drawing the curve to -4 on the x-axis to touch it but not cross. We continue back down and curve back around to cross the x-axis at -1. We continue up past -1 and curve back down to 5 on the x-axis. We touch here without crossing and draw the rest of our function heading back up. It should form a sideways s shape.


Step-by-step explanation:


A polynomials is an equation with many terms whose leading term is the highest exponent known as degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.


This polynomial has roots -4, -1, and 5. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or the simple touch it and bounce back? The even or odd multiplicity - how many times the root occurs.


In this polynomial:


Root -4 has even multiplicity of 4 so it only touches and does not cross through.


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