verify whether x^4+2x^3-2x^2+2x-3 is divisible by x^2+2x-3 or not? how can you verify by using factor theorem
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Answer:
f(x)=2x^4-ax^3+4×^2-×+2
we will consider 2x+1 as g(x)
now g(x)=0
2×+1 =0
×=-1/2
now 2(-1/2)^4-a(-1/2)^3+4(-1/2)^2-(-1/2)+2
=-1^4-a3/8+4-1/2+2
=4-a3/8+4-1/2+2
=4+4+2-1/2+a3/8
=10-1×4/2×4+a3/8
=10-4/8+a3/8
=10-1/2+a3/8
=20-1+a3/8
=19+a3+8
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