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

7

step-by-step explanation:

the answer would be 7

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.