draw the graph of the polynomial
Answers
EXPLANATION.
Graph of the equation,
⇒ F(x) = x² - 4x + 3.
As we know that,
Factorizes the equation into middle term split, we get.
⇒ y = x² - 4x + 3.
⇒ y = x² - 3x - x + 3.
⇒ y = x(x - 3) - 1(x - 3).
⇒ (x - 1)(x - 3) = 0.
⇒ x = 1 and x = 3.
Put the value of x = 1 in equation, we get.
⇒ y = (1)² - 4(1) + 3.
⇒ y = 4 - 4.
⇒ y = 0.
Their Co-ordinates = (1,0).
Put the value of x = 3 in equation, we get.
⇒ y = (3)² - 4(3) + 3.
⇒ y = 9 - 12 + 3.
⇒ y = 12 - 12.
⇒ y = 0.
Their Co-ordinates = (3,0).
Put the value of x = 0 in equation, we get.
⇒ y = (0)² - 4(0) + 3.
⇒ y = 3.
Their Co-ordinates = (0,3).
Answer:
Graph of the equation,
⇒ F(x) = x² - 4x + 3.
As we know that,
Factorizes the equation into middle term split, we get.
⇒ y = x² - 4x + 3.
⇒ y = x² - 3x - x + 3.
⇒ y = x(x - 3) - 1(x - 3).
⇒ (x - 1)(x - 3) = 0.
⇒ x = 1 and x = 3.
Put the value of x = 1 in equation, we get.
⇒ y = (1)² - 4(1) + 3.
⇒ y = 4 - 4.
⇒ y = 0.
Their Co-ordinates = (1,0).
Put the value of x = 3 in equation, we get.
⇒ y = (3)² - 4(3) + 3.
⇒ y = 9 - 12 + 3.
⇒ y = 12 - 12.
⇒ y = 0.
Their Co-ordinates = (3,0).
Put the value of x = 0 in equation, we get.
⇒ y = (0)² - 4(0) + 3.
⇒ y = 3.
Their Co-ordinates = (0,3).