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Questions and Answers
What is the formula for performing long division of polynomials?
What is the formula for performing long division of polynomials?
- a(x) = b(x) × Q(x) - R(x)
- a(x) = b(x) × R(x) + Q(x)
- a(x) = b(x) × Q(x) + R(x) (correct)
- a(x) = b(x) × R(x) - Q(x)
What is the first step in performing synthetic division?
What is the first step in performing synthetic division?
- Use the opposite sign of the root of the dividend polynomial.
- Write the coefficients of the divisor polynomial.
- Use the opposite sign of the root of the divisor polynomial.
- Write the coefficients of the dividend polynomial. (correct)
What is the equation of the y-intercept of a cubic polynomial?
What is the equation of the y-intercept of a cubic polynomial?
- y = f(0) = b
- y = f(x) = d (correct)
- y = f(0) = a
- y = f(0) = c
What is the purpose of finding the stationary points of a cubic polynomial?
What is the purpose of finding the stationary points of a cubic polynomial?
What is the first step in solving a cubic equation using the Factor and Remainder Theorem?
What is the first step in solving a cubic equation using the Factor and Remainder Theorem?
What is the general formula for synthetic division?
What is the general formula for synthetic division?
What is the purpose of analyzing the end behavior of a cubic polynomial?
What is the purpose of analyzing the end behavior of a cubic polynomial?
What is the formula for the quotient Q(x) in polynomial division?
What is the formula for the quotient Q(x) in polynomial division?
What is the purpose of finding the x-intercepts of a cubic polynomial?
What is the purpose of finding the x-intercepts of a cubic polynomial?
What is the difference between long division and synthetic division of polynomials?
What is the difference between long division and synthetic division of polynomials?
What is the first step in drawing the graph of a cubic polynomial?
What is the first step in drawing the graph of a cubic polynomial?
What is the relationship between the roots of a polynomial equation and its factors?
What is the relationship between the roots of a polynomial equation and its factors?
What is the purpose of analyzing the end behavior of a cubic polynomial?
What is the purpose of analyzing the end behavior of a cubic polynomial?
What is the general form of a cubic polynomial?
What is the general form of a cubic polynomial?
What is the second step in solving a cubic equation using the Factor and Remainder Theorem?
What is the second step in solving a cubic equation using the Factor and Remainder Theorem?
What is the purpose of finding the stationary points of a cubic polynomial?
What is the purpose of finding the stationary points of a cubic polynomial?
What is the remainder when the polynomial a(x) is divided by b(x)?
What is the remainder when the polynomial a(x) is divided by b(x)?
What is the main difference between long division and synthetic division of polynomials?
What is the main difference between long division and synthetic division of polynomials?
What is the purpose of finding the stationary points of a cubic polynomial?
What is the purpose of finding the stationary points of a cubic polynomial?
When dividing a polynomial a(x) by a linear divisor x - k, what is the value of the remainder?
When dividing a polynomial a(x) by a linear divisor x - k, what is the value of the remainder?
What is the relationship between the roots of a polynomial equation and its factors?
What is the relationship between the roots of a polynomial equation and its factors?
When drawing the graph of a cubic polynomial, what is the purpose of identifying the end behavior?
When drawing the graph of a cubic polynomial, what is the purpose of identifying the end behavior?
What is the purpose of using the Factor and Remainder Theorem to solve cubic equations?
What is the purpose of using the Factor and Remainder Theorem to solve cubic equations?
When performing synthetic division, what is the role of the opposite sign of the root of the divisor polynomial?
When performing synthetic division, what is the role of the opposite sign of the root of the divisor polynomial?
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