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When the polynomial mx^3 - 3x^2 + nx + 2 is divided by x + 3, the remainder is -1. When it is divided by x - 2, the remainder is -4. What are the values of m and n

 Apr 4, 2015

Best Answer 

 #1
avatar+118703 
+10

When the polynomial mx^3 - 3x^2 + nx + 2 is divided by x + 3, the remainder is -1.

When it is divided by x - 2, the remainder is -4. What are the values of m and n

 

f(x)=mx33x2+nx+2f(3)=m2739+3n+2=127m273n+2=127m3n25=127m3n=26(1)f(2)=m812+2n+2=48m10+2n+2=48m+2n=4(2)

 

Now check what i have done because it is late and I could easily have made a mistake

Then solve the equations simultaneously. :)

 Apr 4, 2015
 #1
avatar+118703 
+10
Best Answer

When the polynomial mx^3 - 3x^2 + nx + 2 is divided by x + 3, the remainder is -1.

When it is divided by x - 2, the remainder is -4. What are the values of m and n

 

f(x)=mx33x2+nx+2f(3)=m2739+3n+2=127m273n+2=127m3n25=127m3n=26(1)f(2)=m812+2n+2=48m10+2n+2=48m+2n=4(2)

 

Now check what i have done because it is late and I could easily have made a mistake

Then solve the equations simultaneously. :)

Melody Apr 4, 2015

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