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JulsSmile [24]
1 year ago
8

Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros −1, 1, 7 ; integer coefficients a

nd constant term 14 f(x) =
Mathematics
1 answer:
kirill115 [55]1 year ago
6 0

The polynomial equation is f(x) = (x + 1)(x - 1)(x - 7)(x + 2)

<h3>How to determine the polynomial equation?</h3>

The given parameters are

  • Degree of polynomial = 4
  • Zeros of the polynomial = -1, 1 and 7
  • Constant term = 14

The sum of multiplicities of the polynomial equation must be equal to the degree.

This means that the multiplicity of each zero is 1

The equation of the polynomial is then calculated as

P(x) = (x - zero)^ multiplicity

So, we have

P(x) = (x + 1)(x - 1)(x - 7)(x - a)

Recall that

Constant term = 14

This means that

P(0) = 14

So, we have

(0 + 1)(0 - 1)(0 - 7)(0 - a) = 14

Evaluate

7(0 - a) = 14

Divide by 7

0 - a = 2

So, we have

a = -2

Substitute a = -2 in P(x) = (x + 1)(x - 1)(x - 7)(x - a)

P(x) = (x + 1)(x - 1)(x - 7)(x + 2)

Rewrite as

f(x) = (x + 1)(x - 1)(x - 7)(x + 2)

Hence, the equation of the polynomial equation is f(x) = (x + 1)(x - 1)(x - 7)(x + 2)

Read more about polynomial at

brainly.com/question/17517586

#SPJ1

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kirill115 [55]

Answer:

4

Step-by-step explanation:

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16=16

4 0
3 years ago
What is the circumference of the circle if r = 3.5 feet? Use 22 7 for π.45 pts
Natasha_Volkova [10]
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Hope this helps!
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2 years ago
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5:3

5 to 3

5/3

Is that what you are looking for?
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Please complete part A.+ B. And show all work. Thank you for your help.
Leno4ka [110]
-3,7) yes I am pretty sure that’s the answer
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3 years ago
Find the quotient<br> 2758 divided by 28
Mashcka [7]
quotient is 98 1/2   
 
 
           <u> 0098 </u> 14/28
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2758 ÷ 28 = 98 14/28  simplified to 98 1/2
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