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
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)=mx3−3x2+nx+2f(−3)=m∗−27−3∗9+−3n+2=−1−27m−27−3n+2=1−27m−3n−25=1−27m−3n=26(1)f(2)=m∗8−12+2n+2=−48m−10+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. :)
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)=mx3−3x2+nx+2f(−3)=m∗−27−3∗9+−3n+2=−1−27m−27−3n+2=1−27m−3n−25=1−27m−3n=26(1)f(2)=m∗8−12+2n+2=−48m−10+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. :)