Question

if (x + 1) and (x - 2) are the factors of mx^2 + x^2 - 2x + n . find the value of m and n.​

Answer 1

Answer:

m=2

n=-1

Step-by-step explanation:

==> X+1 = 0      ;   X-1 = 0

==> X = -1 ; 1

POLYNOMIAL = mx³+x²-2x+n

P[1] = m[1]³+[1]²-2[1]+ n

P[1] = m+ 1 - 2 + n

==> m+n - 1

==> m+n = 1 ....{1}

P[-1] = m[-1]³+[-1]²-2[-1]+n

==> -m+1+2+n ==> -m+n+3

==> -m+n= -3...........[2]

EQ[1] AND [2]

m+n = 1

-m+n = -3

2n = -2

==> n = -1

PUTTING VALUE IN EQ[2]

-m+n = -3

-m-1 = -3

-m= -2

m = 2

Answer 2

Answer:

m=1

n=-4

Step-by-step explanation: