(Q8)Draw the graphs of the given polynomial and find the zeros justify the answer p(x)=x2+3x-4.

Answer

Given polynomial p(x)=x2+3x-4

List of values of p(x):

x -4 -3 -2 -1 0 1 2
x2
3x - - - -
x2+3x - -
4
p(x) - - - -
(x,y) (-,) (-,-) (-,-) (-,-) (,-) (,) (,)

Now,lets locate the points listed above on a graph paper,

Result: We observe that the graph cuts the X -axis at(-4,0) and (1,0).

So, the zeros of the polynomial are -4 and 1.

Justification:

Given p(x)=x2+3x-4=0

x2+x-x-4=0

x(x+)-1(x+)=0

(x+)(x-)=0

x+=0 and x-=0

x=- and x=