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Questions and Answers
What is the remainder when a polynomial p(x) is divided by cx - d?
What is the remainder when a polynomial p(x) is divided by cx - d?
- p(-d/c)
- p(cx)
- p(d/c) (correct)
- p(c/d)
Given a polynomial p(x) and a divisor cx - d, what is the general form of the polynomial division?
Given a polynomial p(x) and a divisor cx - d, what is the general form of the polynomial division?
- p(x) = (cx - d) · R + Q(x)
- p(x) = (cx + d) · Q(x) - R
- p(x) = (cx + d) · R - Q(x)
- p(x) = (cx - d) · Q(x) + R (correct)
What is the degree of the quotient Q(x) when dividing a polynomial p(x) by a linear polynomial cx - d?
What is the degree of the quotient Q(x) when dividing a polynomial p(x) by a linear polynomial cx - d?
- One degree less than p(x) (correct)
- One degree more than p(x)
- Two degrees less than p(x)
- The same degree as p(x)
What is the remainder R when dividing a polynomial p(x) by a linear polynomial cx - d?
What is the remainder R when dividing a polynomial p(x) by a linear polynomial cx - d?
What is the expression for the remainder R when dividing a polynomial p(x) by cx - d?
What is the expression for the remainder R when dividing a polynomial p(x) by cx - d?
What is the purpose of the Remainder Theorem in polynomial division?
What is the purpose of the Remainder Theorem in polynomial division?
What is the value of x that gives the remainder when dividing a polynomial p(x) by cx - d?
What is the value of x that gives the remainder when dividing a polynomial p(x) by cx - d?
What is the relationship between the degrees of the polynomial p(x) and the quotient Q(x) when dividing by a linear polynomial cx - d?
What is the relationship between the degrees of the polynomial p(x) and the quotient Q(x) when dividing by a linear polynomial cx - d?
What is the form of the remainder R when dividing a polynomial p(x) by a linear polynomial cx - d?
What is the form of the remainder R when dividing a polynomial p(x) by a linear polynomial cx - d?
What is the purpose of substituting \frac{d}{c} into the polynomial p(x) in the Remainder Theorem?
What is the purpose of substituting \frac{d}{c} into the polynomial p(x) in the Remainder Theorem?
What is the general form of the polynomial division when dividing p(x) by cx - d?
What is the general form of the polynomial division when dividing p(x) by cx - d?
What is the relationship between the polynomial p(x) and the divisor cx - d in the Remainder Theorem?
What is the relationship between the polynomial p(x) and the divisor cx - d in the Remainder Theorem?
What is the significance of the quotient Q(x) in the Remainder Theorem?
What is the significance of the quotient Q(x) in the Remainder Theorem?
What is the role of the divisor cx - d in the Remainder Theorem?
What is the role of the divisor cx - d in the Remainder Theorem?
What is the advantage of using the Remainder Theorem in polynomial division?
What is the advantage of using the Remainder Theorem in polynomial division?
What is the relationship between the polynomial p(x) and the remainder R?
What is the relationship between the polynomial p(x) and the remainder R?
What is the condition for the divisor cx - d to be a linear polynomial?
What is the condition for the divisor cx - d to be a linear polynomial?
What is the purpose of the expression p(d/c) in the Remainder Theorem?
What is the purpose of the expression p(d/c) in the Remainder Theorem?
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