Question

Draw the graph of a polynomial P(x)=x2-5x+6 and also find its zeros.​

Answer 1

Answer:

x=2,x=3.............,

Answer 2

SOLUTION

TO DETERMINE

• The graph of a polynomial

$\sf{}P(x) = {x}^{2} - 5x + 6$

• The zeros of the polynomial

EVALUATION

For the zero of polynomial

$\sf{}P(x) = {x}^{2} - 5x + 6$

We have

$\sf{}P(x) = 0$

$\implies \sf{} {x}^{2} - 5x + 6 = 0$

$\implies \sf{} {x}^{2} - (3 + 2)x + 6 = 0$

$\implies \sf{} {x}^{2} - 3x - 2x+ 6 = 0$

$\implies \sf{}x(x - 3) - 2(x - 3)= 0$

$\implies \sf{}(x - 3) (x - 2)= 0$

If product of two real numbers are zero then either one of them are zero

$\sf{}either \: \: (x - 3) = 0 \: \: or \: \: (x - 2)= 0$

$\sf{}(x - 3) = 0 \: \: gives \: \: x = 3$

$\sf{}(x - 2) = 0 \: \: gives \: \: x = 2$

Hence the zeroes of the polynomial are 2 , 3

GRAPH

For graph of the polynomial refer to the attachment

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LEARN MORE FROM BRAINLY

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