value of 'a' is 1...an d value of 'b' is -2......
If (x+2) and (x-2) are factors of ax4 + 2x - 3x2 + bx - 4, then the value of a + b is
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2 Answers
Astha Gupta
·2013-06-03 10:11:04
f(x)=ax4+2x-3x4+bx-4
by factor theorem,we have
→x+2=0
→x=-2
therefore,
f(-2)→a(-2)4+2(-2)-3(-2)2+b(-2)-4=0
→16a-4-12-2b-4=0
→16a-20-2b=0
→16a-2b=20
→8a-b=10.........(1)
now,
→x-2=0
→x=2
therefore,
f(2)→a(2)4+2(2)-3(2)2+b(2)-4=0
→16a+4-12+2b-4=0
→16a+2b=12
→8a+b=16............(2)
so,you got 2 equations...now solve them......
- Sayantan Hazra Eqn (2) : chk the step after 16a + 2b = 12Upvote·0· Reply ·2013-06-03 10:58:17
- Astha Gupta oh sorry...typing mistake...that will be... 8a+b=6....