Ethanbaronkimidn
Answered

Join IDNLearn.com to access a wealth of knowledge and get your questions answered by experts. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

Will choose brainliest! How would you do this problem?

Will Choose Brainliest How Would You Do This Problem class=

Sagot :

Corsaquixidn

Answer:

[tex]c=8[/tex]

Step-by-step explanation:

When we plug in the solution [tex](x+2)[/tex], we will substitute [tex]x=-2[/tex], as [tex]-2+2=0[/tex].

To be divisible, a remainder of zero must be yielded.

Let's substitute [tex]x=-2[/tex] to see what we need to make [tex]c[/tex]:

[tex]p(-2)=4\cdot(-2)^3+c\cdot (-2)^2+(-2)+2,\\p(-2)=-32+4c[/tex]

Remember that we want a remainder of zero:

[tex]-32+4c=0,\\4c=32,\\c=\boxed{8}[/tex]

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.