Answered

Join the growing community of curious minds on IDNLearn.com. Our Q&A platform is designed to provide quick and accurate answers to any questions you may have.

given f(x)=2x^3+kx-9 and x-1is a factor of f(x), then what is the value of k?

Sagot :

Hnori22003idn

When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :

thus :

[tex]f(1) = 0[/tex]

Thus :

[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]

So :

[tex]2 + k - 9 = 0[/tex]

[tex]k - 7 = 0[/tex]

Add both sides 7

[tex]k - 7 + 7 = 0 + 7[/tex]

[tex]k = 7[/tex]

There you go...

Have a great day ❤

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Accurate answers are just a click away at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.