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
4.6107 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)
Find the maximum value of the function f(x) = 3sin(2x) + cos(x) on the interval [0, π].
+
Question: What is the integral of f(x) = 3x^2 - 2x + 1 from x = 1 to x = 5?
+
What is the volume of a rectangular solid with length 5, width 7, and height 3?
+
New questions in Mathematics