Question

If one zero of the polynomial x^2 - 5x + 6 is 2 then the other zero is?

Answer 1

f(x) = x²-5x+6

one zero of the polynomial is 2 then

g(x) = (x-2)

By dividing f(x) from g(x) we get the other zero of the polynomial

x-2) x²-5x+6( x-3

x²-2x

___(-)_(+)__________

-3x +6

-3x +6

_____(+)__(-)_______

0

_________________

Therefore the other zero of the polynomial is

x-3 = 0

x = 3

Hope it helps you

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Answer 2

one zero of the polynomial is 2

we know that sum of zeros will be -b/a

here b=-5

a=1

-b/a=2+x

-(-5)/1 = 2+x

5 = 2+x

5-2 = x

3 = x