Question

@Shivam


$\rm\large{\underline{\underline\color{darkblue}{Question:-}}}$

B) Draw the graph for the polynomial
$\rm \: p(x) = {x}^{2} - x - 6$
and hence find the zeroes from the

graph.

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Answer 1

Step-by-step explanation:

To Find draw a graph of the polynomial :

find the zeroes

65

Solution:

X P(x)=x²-x - 6

-36

-20

-1 -4

0-6

1-6

2-4

30

46

Answer 2

EXPLANATION.

Graph of the polynomial.

⇒ p(x) = x² - x - 6.

As we know that,

We can write equation as,

⇒ y = x² - x - 6.

Factorizes the equation into middle term splits, we get.

⇒ y = x² - 3x + 2x - 6.

⇒ y = x(x - 3) + 2(x - 3).

⇒ y = (x - 3)(x + 2).

Now, we find zeroes of the polynomial.

⇒ (x - 3)(x + 2) = 0.

⇒ x = 3   and   x = - 2.

⇒ y = x² - x - 6.

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

⇒ y = (3)² - 3 - 6.

⇒ y = 9 - 3 - 6.

⇒ y = 9 - 9.

⇒ y = 0.

Their Co-ordinates = (3,0).

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

⇒ y = (-2)² - (-2) - 6.

⇒ y = 4 + 2 - 6.

⇒ y = 6 - 6.

⇒ y = 0.

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

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

⇒ y = (0)² - (0) - 6.

⇒ y = - 6.

Their Co-ordinates = (0,-6).