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 word that means to express oneself in such a way that one is clearly understood
Charlie has 5 times as many stamps as Ryan. They have 1,608 stamps in all. How many more stamps does Charlie have than Ryan ?
Ratio and Proportion 15/y = 5 to 8 y = ?
Suppose Faye plans to fill packets with 60 beads after deciding not to add any yellow beads to the mix. If you want to find how many packets she can put togethe
why do red blood cells appear smaller after being exposed to a hypertonic starch solution?
simplify(x^3-3x^2-2x+5) - (x^2-2x+2)
How to write 0.719 in word form?
To pay for a sofa, Maddie made a payment of 64 dollars each month for one year. How much did the sofa cost?
what are the values of x and y that would make this equation true...2x-20i=8-(4y)i
how has the value of salt changed from the time of the ancient romans to today