Question

the graph of the polynomial f(x)=2x-5 is a straight line which intersects the x-axis at exactly one point namely

Answer 1

Answer:

The graph of polynomial f(x) = 2x-5 intersect X-axis at point  $\frac{5}{2}$

Step-by-step explanation:

Since graph of polynomial intersect X-axis then,

$f(x)=0\\2x-5=0\\2x=5\\x=\frac{5}{2}$

Answer 2

Given polynomial is

$f(x) = 2x - 5$

Given that the graph of this polynomial is a straight line.

Hence, it is a linear equation.

We need to find the point in which this line intersects x axis at exactly one point.

As, it is a linear equation

$f(x) = 0 \\ 2x - 5 = 0 \\ 2x = 5 \\ x = 5 \div 2$

Hence, the root of the equation is

$5 \div 2$

As, it intersects the x axis the value of y is

$0$

Therefore the point at which the given polynomial cuts x-axis is

$(5 \div 2 \: \: 0)$

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