Question

Draw the graph of the polynomials px) = x²-5×+6 and find the zeroes from the graph
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Answer 1

Here is your answer:-

Refer to the attachment for details:-

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Answer 2

Answer:

SOLUTION

TO DETERMINE

The graph of a polynomial

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

2

−5x+6

The zeros of the polynomial

EVALUATION

For the zero of polynomial

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

2

−5x+6

We have

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

\implies \sf{} {x}^{2} - 5x + 6 = 0⟹x

2

−5x+6=0

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

2

−(3+2)x+6=0

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

2

−3x−2x+6=0

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

\implies \sf{}(x - 3) (x - 2)= 0⟹(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)= 0either(x−3)=0or(x−2)=0

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

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

Write the degree of the given polynomial:

5x³+4x²+7x

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