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

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1