Question

Find the zero of the following x square - 5x+ 6

​

Answer 1

Step-by-step explanation:

x^2-3x-2x+6

x(x-3)-2(x-3)

(x-2)(x-3)

x=2 orx=3

Answer 2

Answer in 2 methods:

1st Method:

to find zero of a quadratic equation , we have to factorize it ,

=> x²-5x+6 = 0

=> splitting the middle term,

=> x²-3x-2x+6 = 0

=> x(x-3)-2(x-3) = 0

=> (x-3)(x-2) = 0

x-3 = 0

=> x= 3

x-2 = 0

=> x = 2

2nd Method:

So, to get the zero of p(x) we know that,

p(x) = 0

p(x) = x^2 - 5x + 6

so,

x^2 -5x+ 6= 0

now , we factorise p(x) by splitting the middle term.

x^2-2x-3x+6=0

x(x-2)-3(x-2)=0

so,

(x-2)(x-3)=0

now, we get the value of x = 2 and 3.

So, 2 and 3 are the zeros of the polynomial x^2-5x+6.