Question

MEDAL AND FAN! :)

Answer 1

Write your equation out please. So I can graph this.

Answer 2

Yes I know there is a graph in the picture.

Answer 3

@ganeshie8

Answer 4

HI!!

Answer 5

where does it touch the x axis (not cross, just touch)

Answer 6

@misty1212 at the 1

Answer 7

@mathstudent55

Answer 8

@satellite73

Answer 9

Where are the 3 instances that it crosses the x axis? When x= what?

Answer 10

The points in which the graph touches the x-axis are called zeros of the function.
Suppose a function f has zeros a, b, and c. We could write f as:
f(x)=m(x-a)(x-b)(x-c)

Answer 11

You can see from the picture that our graph meets the x-axis in 3 points -3, 1, and 4.
So here P(x) has 3 zeros, and thus can be written like this P(x)=a(x-1)^2(x-4)(x+3)

Answer 12

So would my answer conclude to option B, a=3? @math&ing001

Answer 13

@math&ing001

Answer 14

Not quite, you see P(x) = c(x-1)^2(x-4)(x+3) = c(x-a)^2(x-b)(x+d)
That would mean here a=1.

The "a" I wrote before was just a random variable, nothing to do with the problem's variables. I change it here to "c" for less confusion.

Answer 15

Answering being 1! alrighty thank you!

Answer 16

Welcome !