martin1652 martin1652
  • 01-06-2019
  • Mathematics
contestada

What is the complete factorization of the polynomial below? X^3+3x^2-x-3

Respuesta :

jimrgrant1 jimrgrant1
  • 01-06-2019

Answer:

(x + 3)(x + 1)(x - 1)

Step-by-step explanation:

Given

x³ + 3x² - x - 3

Factor the first/second and third/fourth terms

= x²(x + 3) - 1(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 1) ← (x² - 1) is a difference of squares, hence

= (x + 3)(x + 1)(x - 1) ← in factored form

Answer Link

Otras preguntas

how do I solve (3+i)(3-i)
how does  a star form?
What is '7b-2b+3-1' ? Need working and it's equations!!
Lane is 10 times Mels age.  If the difference in their age is 27, how old is Mel?
In the top row of an chessboard, Tom writes the values 1, 2, 4, 8, 16, 32, 64, 128. In the leftmost column, Tom writes the values 1, 3, 9, 27, 81, 243, 729, 2
Which type of twins are likely to interact with each other in the womb a. Non-identical b. Identical c. neither
what is a similar quote for Romeo and Juliet "my bounty is as boundless as the sea . My love as deep , the more i give to thee , the more i have , for both are
Lane is 10 times Mels age.  If the difference in their age is 27, how old is Mel?
jessicas shoebox is 20 centimeters long and 10 centimeters wide. how many more millimeters is the length of the shoebox than the width
I am two numbers, the sum of my numbers is 100, the difference between my two numbers is 30,