If (x + 1) and (x - 2) are the factors of mx^2 + x^2 - 2x + n . find t

1.	If (x + 1) and (x - 2) are the factors of mx^2 + x^2 - 2x + n . find the value of m and n.
Answer» <P>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

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

Answer»

<P>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