Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
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
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
