When Given a Polynomial & Its Factors Find All Zeros and Write as a Product of its Factors

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Mathematics
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11th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to set factors in the form of X - K equal to zero?
To determine the zeros of the function
To simplify the function
To find the maximum value of the function
To convert the function into a polynomial
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a crucial outcome when performing synthetic division?
The quotient should be a linear function
The remainder should be zero
The coefficients should be integers
The divisor should be a fraction
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in applying synthetic division?
Multiply the coefficients by the divisor
Select a zero to use
Add the coefficients together
Divide the coefficients by the divisor
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you verify the correctness of synthetic division?
By ensuring the remainder is zero
By checking if the quotient is a polynomial
By comparing with the original polynomial
By confirming the divisor is a factor
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does multiplying the quotient by the divisor yield?
A new factor
A constant value
The original polynomial
A linear equation
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of linear factorization?
To express a polynomial as a sum of terms
To find the maximum value of a polynomial
To write a polynomial as a product of its factors
To convert a polynomial into a linear equation
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find all the zeros of a polynomial?
By dividing the polynomial by its highest degree term
By setting the polynomial equal to a constant
By setting each factor equal to zero
By multiplying the polynomial by its derivative
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