1. What is the factored form of the function f(x)=x3+7x2+8x−16 ?
Enter your answer by filling in the parentheses.
f(x)= ( ) ( ) ( )
2.
What is the polynomial function of least degree whose only zeros are −3 , −2 , and 4?
Drag a value to each parenthese to correctly state the function.
f(x)= x3( ) x2 ( ) x ( )
the options are -24 ,-14,-9 ,-1, 1,9,14,24
i am unsure on both questions, can someone help me?
(1) x^3 + 7x^2 + 8x - 16
Note that x = 1 produces a zero....so....(x -1) is a factor...and we can use synthetic division to find the remaining polynomial
1 [ 1 7 8 - 16 ]
1 8 16
_____________________
1 8 16 0
The remainig polynomial is x^2 + 8x + 16 which factors as (x + 4) (x + 4)
So.....we have (x - 1) (x + 4) ( x + 4)
What is the polynomial function of least degree whose only zeros are −3 , −2 , and 4?
We have
( x + 3) ( x + 2) ( x - 4) =
(x^2 + 5x + 6) ( x - 4) =
x^3 + 5x^2 + 6x - 4x^2 - 20x - 24 =
1x^3 + 1x^2 - 14x - 24
there only 3 boxes you included 4, im quite unsure. All the work makes sense but theres only 3 boxes to fill
f(x)= x3( ) x2 ( ) x ( )
the options are -24 ,-14,-9 ,-1, 1,9,14,24