Question

Draw the graph of quadratic polynomial x^2+5x +6​

Answer 1

EXPLANATION.

Graph of the quadratic polynomial.

⇒ f(x) = x² + 5x + 6.

As we know that,

⇒ y = x² + 5x + 6.

Factorizes the equation into middle term splits, we get.

⇒ y = x² + 3x + 2x + 6.

⇒ y = x(x + 3) + 2(x + 3).

⇒ y = (x + 2)(x + 3).

Find their Zeroes.

⇒ (x + 2)(x + 3) = 0.

⇒ x = - 2 & x = - 3.

Put the value of x = - 2 in equation, we get.

⇒ y = (-2)² + 5(-2) + 6.

⇒ y = 4 - 10 + 6.

⇒ y = 10 - 10.

⇒ y = 0.

Their Co-ordinates = (- 2,0).

Put the value of x = - 3 in equation, we get.

⇒ y = (-3)² + 5(-3) + 6.

⇒ y = 9 - 15 + 6.

⇒ y = 15 - 15.

⇒ y = 0.

Their Co-ordinates = (- 3,0).

Put the value of x = 0 in equation, we get.

⇒ y = (0)² + 5(0) + 6.

⇒ y = 6.

Their Co-ordinates = (0,6).