make graph of polynomial p(x)=x^2-x-6
Answers
Answered by
1
this is an answer. direct graph pick.
Attachments:
Answered by
3
EXPLANATION.
Graph of the polynomial.
⇒ p(x) = x² - x - 6.
As we know that,
Factorizes this equation into middle term splits, we get.
⇒ x² - 3x + 2x - 6.
⇒ x(x - 3) + 2(x - 3).
⇒ (x + 2)(x - 3).
⇒ x = - 2 and x = 3.
Put the value of x = - 2 in the equation, we get.
⇒ p(-2) = (-2)² - (-2) - 6.
⇒ p(-2) = 4 + 2 - 6.
⇒ p(-2) = 6 - 6.
⇒ p(-2) = 0.
Their Co-ordinates = (- 2, 0).
Put the value of x = 3 in the equation, we get.
⇒ p(3) = (3)² - (3) - 6.
⇒ p(3) = 9 - 3 - 6.
⇒ p(3) = 9 - 9.
⇒ p(3) = 0.
Their Co-ordinates = (3,0).
Put the value of x = 0 in the equation, we get.
⇒ p(0) = (0)² - (0) - 6.
⇒ p(0) = - 6.
Their Co-ordinates = (0,-6).
Attachments:
Similar questions