Question

draw the graph of the given polynomials and find the zeroes justify the answer p (x) =2xsquare +7x-6​

Answer 1

Step-by-step explanation:

• Using analytical method:

We have:

$2x^{2} +7x-6 =0$

Using quadratic  root formula which is:

$\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}$  for a quadratic equation $ax^{2} +bx+c=0$

we get the roots as,

$\frac{-7 \pm \sqrt{49+ 48} }{4} \\= \frac{-7 \pm \sqrt{97} }{4}$

The magnitudes we get are:

$\frac{-7+\sqrt{97} }{4} =0.712$

and

$\frac{-7-\sqrt{97} }{4} = -4.212$

• Graphical method:

Consider the graph in attachment.

The points where the curve intersects with x axis is same as the roots of the polynomial. Hence the value is correct.