Answer: x³-21x+20=0
Step-by-step explanation:
To find which polynomial has 1, 4, -5 as the roots, all we have to do is equal each root to 0 and multiply all factors together.
1 is (x-1)=0
4 is (x-4)=0
-5 is (x+5)=0
Now, we just multiply them together.
(x-1)(x-4)(x+5)=0 [FOIL]
(x²-4x-x+4)(x+5)=0 [combine like terms]
(x²-5x+4)(x+5)=0 [FOIL]
x³+5x²-5x²-25x+4x+20=0 [combine like terms]
x³-21x+20=0
Now we know x³-21x+20=0 is the polynomial with those roots.
Answer:
Step-by-step explanation:
<u>Given functions f(x) and g(x). f(x) is:</u>
<u>Converted into vertex form, it is:</u>
<u>g(x) has vertex at (-2, -14), it's vertex form is:</u>
Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).
Both have positive leading factors, therefore the vertex is their minimum point.
Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.
Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.
Correct choice is A
Answer:
x=5
Step-by-step explanation:
x^2 is 1
