Question

P(x) = x^2-5x+6 find the zero of polynomial

Answer 1

Given equation

⇒x² - 5x + 6 = 0

To find

⇒zeroes of the polynomial

Now we use Middle term spilt method

⇒x² - 5x + 6 = 0

⇒x² - 2x - 3x + 6 = 0

⇒x( x - 2) - 3(x - 2) = 0

⇒(x - 3)(x - 2) = 0

⇒x - 3 = 0 and x - 2 = 0

⇒x = 3 and x = 2

zeroes of the polynomial are 3 and 2

Answer

⇒α = 3 and β = 2

More Information

⇒Sum of the zeroes = α + β = 3 + 2 = 5

⇒Product of zeroes = αβ = 3×2 = 6

Answer 2

$\huge\bf\fbox\red{Answer:-}$

We use,

Middle term spilt method:

→ x² - 5x+6=0

→ x² - 2x -3x+6=0

→ x(x - 2) - 3(x - 2) = 0

→ (x - 3)(x - 2) = 0

→ x - 3 = 0 and x - 2 = 0

→ x = 3 and x = 2

Zeroes of the polynomial are 3 and 2.

Final Answer:

$\bf\alpha = 3 \: \bf{and} \: \bf\beta = 2.$