Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Sagot :

Panoyin
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
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.