Question
Is (X+4) a factor of y=x^3-13x+12? Explain how you know.
237
likes1185 views
Answer to a math question Is (X+4) a factor of y=x^3-13x+12? Explain how you know.
Timmothy
4.896 Answers
1. Define the polynomial: f(x) = x^3 - 13x + 12
2. Use the Factor Theorem: if (x + 4) is a factor, then (f(-4)) should be 0.
3. Compute (f(-4)):
f(-4) = (-4)^3 - 13(-4) + 12
f(-4) = -64 + 52 + 12
f(-4) = -64 + 64 = 0
4. Since (f(-4) = 0), (x + 4) is a factor of (x^3 - 13x + 12).
Answer: (x + 4) is a factor.
2. Use the Factor Theorem: if (x + 4) is a factor, then (f(-4)) should be 0.
3. Compute (f(-4)):
4. Since (f(-4) = 0), (x + 4) is a factor of (x^3 - 13x + 12).
Answer: (x + 4) is a factor.
Frequently asked questions (FAQs)
What is the product of square root of 9 and the sum of 5 and 7?
+
What is the domain of the function f(x) = cos(x) within the interval [0, 2π]?
+
What is the limit of (x^2 - 4) / (x + 2) as x approaches -2?
+
New questions in Mathematics