Option C: (x+4) and (x-1) are the factors of the equation
Explanation:
Given that the equation is
We need to determine the factors of the equation.
Splitting the middle term, we get,
Grouping the terms, we have,
Let us factor out the term (x+4), we have,
Thus, the factors of the equation are (x+4) and (x-1)
Hence, Option C is the correct answer.
Answer:
u₁= ⟨1/(7*√3),−5/(7*√3) ,−11/(7*√3)⟩
u₂= ⟨-1/(7*√3),5/(7*√3) ,11/(7*√3)⟩
Step-by-step explanation:
for a=⟨−2,−4,−2⟩ and b=⟨−3,5,2⟩
a vector orthogonal to a and b can be found through the vectorial product of a and b. Thus
c= a x b
then c₁=⟨2,−10,−22⟩ and c₂= - c₁= ⟨-2,10,22⟩ are orthogonal to a and b
the corresponding unit vectors are
u₁=c₁/|c₁| = ⟨2,−10,−22⟩ / √(2²+(−10)²+(−22)²) = ⟨2,−10,−22⟩/(14*√3) = ⟨1/(7*√3),−5/(7*√3) ,−11/(7*√3)⟩
then u₂= - u₁= ⟨-1/(7*√3),5/(7*√3) ,11/(7*√3)⟩
then the unit vectors are
u₁= ⟨1/(7*√3),−5/(7*√3) ,−11/(7*√3)⟩
u₂= ⟨-1/(7*√3),5/(7*√3) ,11/(7*√3)⟩