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=