find the value of A and B so that the polynomial x cube + 10 X square + ax + b is exactly divisible by x -1and X + 2
Answers
Answered by
1
X-1=0
X=1
P(1) =1*3+10.1*2+a.1+b
=3+10+a+b
a+b=-13""""""""(1)
Again
X+2=0
x=-2
P(-2 )=(-2)*3+10(-2)*2+a*(-2)+b
=-8+40-2a+b
=-2ab+b=-32""""""""(2)
Substrate( 2)from (1)
a+b=-13
2a+(-b) =+32
3a=19
a=19/3
On(1) substitute
19/3+b=-13
b=-13-19/3
=-52/3 ans
I hope this answer help you
X=1
P(1) =1*3+10.1*2+a.1+b
=3+10+a+b
a+b=-13""""""""(1)
Again
X+2=0
x=-2
P(-2 )=(-2)*3+10(-2)*2+a*(-2)+b
=-8+40-2a+b
=-2ab+b=-32""""""""(2)
Substrate( 2)from (1)
a+b=-13
2a+(-b) =+32
3a=19
a=19/3
On(1) substitute
19/3+b=-13
b=-13-19/3
=-52/3 ans
I hope this answer help you
Similar questions