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
4.6108 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)
Math question: What is the probability of rolling a sum of 7 on two fair dice?
+
Math question: What is the smallest positive integer solution for x in the equation x^n + y^n = z^n, satisfying Fermat’s Theorem with n>2? (
+
What is the range of the function f(x) = sin(2x) over the interval [0, π/2]?
+
New questions in Mathematics