Question

Draw the graph of the polynomial y = x² + 5x + 6. Find the Zeroes.​

Answer 1

Answer:

x^2+5x+6=x^2+2x+3x+6=x(x+2)+3(x+2)=x=-2or-3

Answer 2

Step-by-step explanation:

Solution:-

See the above attachment

Given Polynomial is x^2+5x+6

To get zeores we write

x^2+5x+6=0

=>x^2+2x+3x+6=0

=>x(x+2)+3(x+2)=0

=>(x+2)(x+3)=0

=>x+2=0 or x+3=0

=>x=-2 or -3

Zeroes are -2 and -3

Scale :-

On x-axis 1 cm = 1 unit

On y-axis 1 cm = 2 units

Observation:-

The graph of the given Polynomial is an u -ahaped curve .It is called Parabola

It cut the x-axis at (-2,0) and (-3,0)

The zeores are -2 and -3