Apolynomial function can be written as (x + 1)(x + 4)(x - 7). what are the x-intercepts of the graph of this function ?

The x-intercepts of this graph are -1, -4 and 7.

To find the x intercepts of a fully factored function like the one above, you simply have to set each parenthesis equal to 0 and solve for x. This will give you all of the x intercepts.

FIRST ONE

x + 1 = 0 > subtract 1

x = -1

SECOND ONE

x + 4 = 0 > subtact 4

x = -4

THIRD ONE

x - 7 = 0 > add 7

x = 7

Now you have all of your x intercepts.

D is the answer

x+1=0

Isolate x and you get -1

Next x+4=0

isolate x you get -4

Finally

x-7=0

isolate x and you get 7

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb