Question

find the sum and product of the zeroes of the following polynomial...
${x}^{2 } - 5x + 6$
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Answer 1

x² - 5x + 6 = 0

x² + x - 6x + 6 = 0

x ( x + 1 ) 6 ( x + 1 ) = 0

( x + 6 ) ( x + 1 ) = 0

x = -6 , - 1

♥ Sum of zeroes :-

-6 - 1 = - 7

♥ Product of zeroes :-

- 6 x - 1 = 6

Answer 2

Answer:

$\huge\underline\bold\red{Answer!!}$

=> x² - 5x + 6

=> x² - 2x - 3x + 6

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

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

x = 2 or x = 3

Sum of the zeros of the polynomial = 2+3 = 5

Product of the zeros of the polynomial = 2×3=6

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