Is the binomial a factor of the polynomial function? f(x)=x3+3x2−16x−48

select yes or no for each binomial.

(x−3)

(x+2)

(x−4)

(x−3)  no

(x+2)  no

(x−4) yes

Step-by-step explanation:

Plug in the root of each binomial to see if it is also a root of f(x).

f(3) = -42

f(-2) = -12

f(4) = 0

Of the choices available, only (x−4) is a factor of f(x).

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

b

step-by-step explanation: