Question

Find the value of m in order that X4 - 2x + 3x² -mX + 5 may be exactlydivisible
by X-3.​

Answer 1

Answer:

this is yr answer

Step-by-step explanation:

The given polynomial is P(x)=2x3+3x2+ax+b 

It is also given that if P(x) is divided by (x−2) then it will leave the remainder 2 and if divided by (x+2) then the remainder will be −2 which means that P(2)=2 and P(−2)=−2.

Let us first substitute P(2)=2 in P(x)=2x3+3x2+ax+b as shown below:

P(x)=2x3+3x2+ax+b⇒P(2)=2(2)3+3(2)2+(a×2)+b⇒2=(2×8)+(3×4)+2a+b⇒2=16+12+2a+b

⇒2=28+2a+b⇒2a+b=2−28⇒2a+b=−26.........(1)

Now, substitute P(−2)=−2 in P(x)=2x3+3x2+ax+b as shown below:

P(x)=2x3+3x2