Question

Draw the graph of p[x] = x² - 6x + 9 and find the zeroes verity the zero of the polymonial​

Answer 1

Answer:

We can see at x=1,f(1)=0

∴

(x−1))

x

3

−3x

2

−6x+8

(x

2

−2x−8

x

3

−x

2

________________

−2x

2

−6x

−2x

3

+2x

________________

−8x+8

−8x+8

________________

∴f(x)=(x−1)(x

2

−2x−8)

=(x−1)(x+2)(x−4)

So all zeros of f(n) are 1,−2,4