Question
MAKING AN ARGUMENT You use synthetic division to divide f(x) by (x − a) and find that the remainder equals 15. Your friend concludes that f (15) = a. Is your friend correct? Explain your reasoning.
253
likes1264 views
Answer to a math question MAKING AN ARGUMENT You use synthetic division to divide f(x) by (x − a) and find that the remainder equals 15. Your friend concludes that f (15) = a. Is your friend correct? Explain your reasoning.
Lurline
4.6106 Answers
No, your friend is not correct. The remainder obtained from synthetic division when dividing f(x) by (x-a) does not give us any information about the value of f(15) equaling a.
Synthetic division is used to divide a polynomial function f(x) by a linear factor (x-a). The remainder obtained is the value of f(a). In this case, the remainder is given as 15 which means that f(a) equals 15, not f(15) equals a.
To summarize:
Your friend's conclusion: f(15) = a
Correct conclusion: f(a) = 15
Answer: No, your friend is not correct. The remainder obtained from synthetic division does not provide information about the value of f(15) equaling a.
Synthetic division is used to divide a polynomial function f(x) by a linear factor (x-a). The remainder obtained is the value of f(a). In this case, the remainder is given as 15 which means that f(a) equals 15, not f(15) equals a.
To summarize:
Your friend's conclusion: f(15) = a
Correct conclusion: f(a) = 15
Answer: No, your friend is not correct. The remainder obtained from synthetic division does not provide information about the value of f(15) equaling a.
Frequently asked questions (FAQs)
What is the sum of the mixed numbers 3 1/2 and 2 3/4, after factoring the numbers and expressing the result in real numbers?
+
What is the derivative of sin^2(x)cos(x) using the Chain Rule?
+
Given an angle θ in radians, find the value of cos^(-1)(-1/2).
+
New questions in Mathematics