7. What must be added to 2x⁴– 5x³ + 2x² – X-3 sothat the resul

1.	7. What must be added to 2x⁴– 5x³ + 2x² – X-3 sothat the result is exactly divisible by (x - 2)?
Answer» Let the REQUIRED number to be added be k. Then , p(X)=2x^4 =5x^3+2x^2−x−3+k and G(x)=(x−2). Now , g(x)=0 x−2=0 x=2. p(2)=0 (32−40+8−5+k)=0 k=5

7. What must be added to 2x⁴– 5x³ + 2x² – X-3 sothat the result is exactly divisible by (x - 2)?

Answer»

Let the REQUIRED number to be added be k. Then ,

p(X)=2x^4 =5x^3+2x^2−x−3+k

and G(x)=(x−2).

Now , g(x)=0

x−2=0

x=2.

p(2)=0

(32−40+8−5+k)=0

k=5

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7. What must be added to 2x⁴– 5x³ + 2x² – X-3 sothat the result is exactly divisible by (x - 2)?​

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7. What must be added to 2x⁴– 5x³ + 2x² – X-3 sothat the result is exactly divisible by (x - 2)?