We appreciate your visit to Find all of the zeros of each function 33 tex f x x 3 7x 2 4x 12 tex 34 tex f x x 3. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Sure! Let's find all of the zeros for each of the given functions step-by-step:
### Problem 33: [tex]\( f(x) = x^3 + 7x^2 + 4x - 12 \)[/tex]
To find the zeros of the cubic polynomial:
1. Set the equation [tex]\( f(x) = x^3 + 7x^2 + 4x - 12 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -6, -2, 1 \][/tex]
### Problem 34: [tex]\( f(x) = x^3 + x^2 - 17x + 15 \)[/tex]
To find the zeros of the cubic polynomial:
1. Set the equation [tex]\( f(x) = x^3 + x^2 - 17x + 15 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -5, 1, 3 \][/tex]
### Problem 35: [tex]\( f(x) = x^4 - 3x^3 - 3x^2 - 75x - 700 \)[/tex]
To find the zeros of the quartic polynomial:
1. Set the equation [tex]\( f(x) = x^4 - 3x^3 - 3x^2 - 75x - 700 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -4, 7, -5i, 5i \][/tex]
### Problem 36: [tex]\( f(x) = x^4 + 6x^3 + 73x^2 + 384x + 576 \)[/tex]
To find the zeros of the quartic polynomial:
1. Set the equation [tex]\( f(x) = x^4 + 6x^3 + 73x^2 + 384x + 576 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -3, -8i, 8i \][/tex]
### Problem 37: [tex]\( f(x) = x^4 - 8x^3 + 20x^2 - 32x + 64 \)[/tex]
To find the zeros of the quartic polynomial:
1. Set the equation [tex]\( f(x) = x^4 - 8x^3 + 20x^2 - 32x + 64 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = 4, -2i, 2i \][/tex]
### Problem 38: [tex]\( f(x) = x^5 - 8x^3 - 9x \)[/tex]
To find the zeros of the quintic polynomial:
1. Set the equation [tex]\( f(x) = x^5 - 8x^3 - 9x = 0 \)[/tex].
2. Factor out the common factor [tex]\( x \)[/tex], then use synthetic division or the quadratic formula if necessary.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -3, 0, 3, -i, i \][/tex]
These are all the zeros for each of the given functions.
### Problem 33: [tex]\( f(x) = x^3 + 7x^2 + 4x - 12 \)[/tex]
To find the zeros of the cubic polynomial:
1. Set the equation [tex]\( f(x) = x^3 + 7x^2 + 4x - 12 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -6, -2, 1 \][/tex]
### Problem 34: [tex]\( f(x) = x^3 + x^2 - 17x + 15 \)[/tex]
To find the zeros of the cubic polynomial:
1. Set the equation [tex]\( f(x) = x^3 + x^2 - 17x + 15 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -5, 1, 3 \][/tex]
### Problem 35: [tex]\( f(x) = x^4 - 3x^3 - 3x^2 - 75x - 700 \)[/tex]
To find the zeros of the quartic polynomial:
1. Set the equation [tex]\( f(x) = x^4 - 3x^3 - 3x^2 - 75x - 700 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -4, 7, -5i, 5i \][/tex]
### Problem 36: [tex]\( f(x) = x^4 + 6x^3 + 73x^2 + 384x + 576 \)[/tex]
To find the zeros of the quartic polynomial:
1. Set the equation [tex]\( f(x) = x^4 + 6x^3 + 73x^2 + 384x + 576 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -3, -8i, 8i \][/tex]
### Problem 37: [tex]\( f(x) = x^4 - 8x^3 + 20x^2 - 32x + 64 \)[/tex]
To find the zeros of the quartic polynomial:
1. Set the equation [tex]\( f(x) = x^4 - 8x^3 + 20x^2 - 32x + 64 = 0 \)[/tex].
2. Factor or use synthetic division.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = 4, -2i, 2i \][/tex]
### Problem 38: [tex]\( f(x) = x^5 - 8x^3 - 9x \)[/tex]
To find the zeros of the quintic polynomial:
1. Set the equation [tex]\( f(x) = x^5 - 8x^3 - 9x = 0 \)[/tex].
2. Factor out the common factor [tex]\( x \)[/tex], then use synthetic division or the quadratic formula if necessary.
3. Find the roots of the factored form.
After solving, the zeros are:
[tex]\[ x = -3, 0, 3, -i, i \][/tex]
These are all the zeros for each of the given functions.
Thanks for taking the time to read Find all of the zeros of each function 33 tex f x x 3 7x 2 4x 12 tex 34 tex f x x 3. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
