Question

2 is a zero of which of the following polynomials ? * x²-5x+6 x²-5x-6 ,x²-5x+2 x²-5x-2

Answer 1

To Find :

• we need to find whether 2 is a zero of given polynomials or not.

Given :

• x = 2

Sᴏʟᴜᴛɪᴏɴ:

If 2 is a zero of given polynomials then ,

• x = 2

★Polynomial :- x² - 5x + 6

⟹ x² - 5x + 6

• Putting value of x = 2

⟹ 2² - 5 × 2 + 6

⟹ 4 - 10 + 6

⟹ 10 - 10

⟹ 0

We get 0 so, 2 is a zero of x² - 5x + 6

Now,

★Polynomial :- x²- 5x - 6

⟹ x² - 5x - 6

• Putting value of x = 2

⟹ 2² - 5 × 2 - 6

⟹ 4 - 10 - 6

⟹ 4 - 16

⟹ -12

So,

2 is not a zero of given polynomial x²- 5x - 6.

• ★Polynomial :- x²- 5x + 2

⟹ x² - 5x + 2

• Putting value of x = 2

⟹ 2² - 5 × 2 + 2

⟹ 4 - 10 + 2

⟹ 6 - 10

⟹ - 4

So,

2 is not a zero of given polynomial x²- 5x + 2

• ★Polynomial :- x²- 5x - 2

⟹ x² - 5x - 2

Putting value of x = 2

⟹ 2² - 5 × 2 - 2

⟹ 4 - 10 - 2

⟹ 4 - 12

⟹ -8

So,

2 is not a zero of given polynomial x²- 5x - 2.

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Answer 2

Answer:

Step-by-step explanation:

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

$=> x²-5x+6 = 0$

=> splitting the middle term,

=>$x²-3x-2x+6 = 0$

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

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

$x-3 = 0$

=> $x= 3$

- taken to the other side beacomes +

$x-2 = 0$

=>$x = 2$

hope it helps

:)