The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). what is the polynomial?

Asked by maham237 @ in Mathematics viewed by 368 People

The quotient of (x4 – 3x2 + 4x – 3) and a polynomial is (x2 + x – 3). What is the polynomial?
A:x4 – 2x2 + 5x – 6
B: x2 – x + 1
C: x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D: x4 – 4x2 + 3x

Answered by maham237 @


X/y=z
if we know x and z

solve for y
x/y=z
times both sides by y
x=zy
divide both sides by z
x/z=y

therefor
(x^4– 3x2 + 4x – 3)/?=(x^2+x-3)
so
\frac{x^4-3x2 + 4x-3}{x^2+x-3} =?
solve
first factor them
\frac{(x^2+x-3)(x^2-x+1)}{x^2+x-3} =?
x^2-x+1=?
the poly is x^2-x+1





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