Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Answer:
k = 4
Step-by-step explanation:
If (x + 2) is a factor then f(- 2) = 0
f(x) = x³ - kx² + 2x + 7k , then
f(- 2) = (- 2)³ - k(- 2)² + 2(- 2) + 7k = 0
⇒ - 8 - k(4) - 4 + 7k = 0
⇒ - 8 - 4k - 4 + 7k = 0
⇒ 3k - 12 = 0 ( add 12 to both sides )
⇒ 3k = 12 (divide both sides by 3 )
⇒ k = 4
Answer:
k = 4
Step-by-step explanation:
If x + 2 is a factor of x³ - kx² + 2x + 7k then
the value of x = -2
Solve for k
- f ( x ) = x³ - kx² + 2x + 7k
plug -2 as x in the expression.
- f ( -2) = ( -2)³ - k ( -2)² + 2 ( -2 ) + 7 k = 0
expand the exponents
- = -8 -4k -4 + 7k = 0
combine like terms
- = -8 -4 + -4k + 7k = 0
- = -12 + 3k = 0
add 12 to both side
- -12 + 12 + 3k = 12
- 3k = 12
divide each side by 3
- 3k / 3 = 12/3
- k = 4
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
