ashleeb97 ashleeb97
  • 25-03-2015
  • Mathematics
contestada

show that x+3 is a factor of f(x)=3x^4-3x^3-36x^2

Respuesta :

Panoyin
Panoyin Panoyin
  • 25-03-2015
f(x) = 3x^4 - 3x³ - 36x²
f(x + 3) = 3(x + 3)^4 - 3(x + 3)³ - 36(x + 3)²
f(x + 3) = 3((x + 3)(x + 3)(x + 3)(x + 3)) - 3((x + 3)(x + 3)(x + 3)) - 36((x + 3)(x + 3))
f(x + 3) = 3((x² + 6x + 9)(x² + 6x + 9)) - 3(x² + 6x + 9)(x + 3) - 36(x² + 6x + 9)
f(x + 3) = 3(x^4 + 12x³ + 54x² + 108x + 81) - 3(x³ + 9x² + 27x + 27) - 36(x² + 6x + 9)
f(x + 3) = 3x^4 + 33x³ + 99x² + 27x - 162
Answer Link

Otras preguntas

A lamp draws a current of 20 A when it is connected to a 100 V source? What is the resistance of the lamp?
corres corres Querido Isabel, Hola, ¿Cómo estás? ¿Dónde (1) corren tú ahora, por el mismo parque? ¿Todavía aprende (2) aprendes tú español? ¿Todavía (3) corren
all numbers less than or equal to 22
Will give heart ❤️ PART 4!
The Enlightenment built on the use of observation and logic from the Scientific Revolution, but applied them to: 1.Bible 2.human life 3.the work of classical th
a movie theather was opened in a small town. every customer whose ticket number has at least three same digits has a 15 percent discount. how many costumers wit
pls help i need a good grade in english !!
The range of the function
Solve by any method -7x-4y=-4. 14x+10y=24
I'm writing a book/Series but can't think of a title. Here are my options: A. Two Sides B. Be a Roybel C. Savannah Wilkins D. Both Ways BTW if you're late write