Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Given f(x)=3x^2+9x+k and the remainder when f(x) is divided by x+1 is -14, then what is the value of k?

Sagot :

onyebuchinnaji

Answer:

The value of k is -8.

Step-by-step explanation:

Given;

f(x) = 3x² + 9x + k

factor of the function = x + 1

remainder of the function = -14

let x + 1 = 0

x = -1

f(-1) = 3(-1)² + 9(-1) + k = -14

3(-1)² + 9(-1) + k = -14

3 - 9 + k = -14

-6 + k = -14

k = -14 + 6

k = -8

Therefore, the value of k is -8.

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.