Which polynomial could have the following graph?

Question

asked Jul 16, 2019 371 views

2 Answers

Kiumars Gilanizadeh · Answer 1 · 2019-07-23T01:40:16+0000

Answer:
y=(x-2)(x+1)(x+3)

Explanation:

From the given graph, it can be seen that the x intercepts of the graph are

$x=-3,\ x=-1,\ x=2$

It implies the value of y at the above points must be zero.

[x-intercept is of the form (a,0), where the value of y is zero.]

It implies
$x=-3,\ x=-1,\ x=2$ are the zeroes of the polynomial graphed.

It implies
$(x-2),\ (x+1),\ (x+3)$ are the factors of the polynomial graphed.

[By Factor theorem]

Thus the polynomials should be :
which is the correct polynomial for the given graph.