Question

$x {}^{2} - 5x + 6$
find the zeros and draw the graph​

Answer 1

Answer:

-4x +6

Step-by-step explanation:

1x - 5x

= 4x +6

6 will not add to 4 because of like terms

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Answer 2

Step-by-step explanation:

We Have :-

$x^{2} - 5x + 6$

To Find :-

$find \: the \: zeroes \: and \: draw \: the \: graph$

Method Used :-

$middle \: term \: splitting$

Solution :-

$x^{2} - 5x + 6 \\ \\ \\ x^{2} - 3x - 2x + 6 \\ \\ \\ x(x - 3) - 2(x - 3) \\ \\ \\ (x - 3)(x - 2) \\ \\ \\ so \\ \\ \\ x = 3 \: or \: x = 2 \\ \\ \\ to \: draw \: the \: graph \: we \: need \: points \\ \\ \\ y = x^{2} - 5x + 6 \\ \\ \\ when \: x = 0 \\ \\ \\ y = (0)^{2} - 5(0) + 6 \\ \\ \\ y = 0 - 0 + 6 \\ \\ \\ y = 6 \\ \\ \\ when \: x = 1 \\ \\ \\ y = (1)^{2} - 5(1) + 6 \\ \\ \\ y = 1 - 5 + 6 \\ \\ \\ y = 2 \\ \\ \\ when \: x = 2 \\ \\ \\ y = (2)^{2} - 5(2) + 6 \\ \\ \\ y = 4 - 10 + 6 \\ \\ \\ y = 0$