Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Given f(x)=3x^3-4x+k and x+2 is a factor of f(x), then what is the value of k?

Sagot :

Answer:

k is 16

Step-by-step explanation:

Factor is ( x+2 ):

[tex]{ \sf{x + 2 = 0}} \\ { \sf{x = - 2}}[/tex]

Root is -2.

[tex]{ \bf{f(x) = 3 {x}^{3} - 4x + k}} \\ { \sf{f( - 2) = 0}} \\ { \sf{3 {( - 2)}^{3} - 4( - 2) + k = 0 }} \\ { \sf{ - 24 + 8 + k = 0}} \\ { \sf{ - 16 + k = 0}} \\ { \sf{k = 16}}[/tex]

atithianupama
Hope this helps you !!
View image atithianupama
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.