Question

Draw the graph of the linear polynomial y = 2x- 4 and discuss the zeroes Let y = f(x) = 2x - 4 be the given polynomial​

Answer 1

EXPLANATION.

Graph of the linear polynomial.

⇒ y = 2x - 4.

As we know that,

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

⇒ y = 2(0) - 4.

⇒ y = - 4.

Their Co-ordinates = (0,-4).

Put the values of y = 0 in the equation, we get.

⇒ (0) = 2x - 4.

⇒ 2x = 4.

⇒ x = 2.

Their Co-ordinates = (2,0).

As we know that,

Zeroes of the polynomial = Number of times Graph cuts x axis.

Number of zeroes = 1.

Answer 2

Given :-

y = 2x - 4

To Find :-

Graph

Zeroes

Solution :-

y = 2x - 4

Using x as 0

y = 2(0) - 4

y = 2 - 4

y = -2

i.e (0,-2) is a solution of 2x - 4

Also,

Using y as 0

0 = 2x - 4

0 - 2x = -4

-2x = -4

x = -4/-2

x = 4/2

x = 2

i.e (2,0) is a solution of 2x - 4

It has 1 zero