What must be added to the polynomial 4x⁴+2x³-2x²+x-1 so that the resulting polynomial is divisible by x²-2x-3
Answers
Answer:
Step-by-step explanation:
please mark me as a result of the answer is yes then please
please mark me as a result of the braillianst the braillianst to be in response the dictionary
please mark me as a braillianst
91x + 89 is added to 4x⁴ + 2x³ - 2x² + x - 1 so that the resulting polynomial is divisible by x² - 2x - 3.
Explanation:
Given:
p(x) = 4x⁴ + 2x³ - 2x² + x - 1
g(x) = x² - 2x - 3
Step-by-step explanation:
x² - 2x - 3)4x⁴ + 2x³ - 2x² + x - 1(4x² + 10x + 30
4x⁴ - 8x³ - 12x²
---------------------------------
10x³ + 10x² + x - 1
10x³ - 20x² - 30x
-----------------------------
30x² + 31x - 1
30x² - 60x - 90
-------------------------
91x + 89
∴ When the polynomial 91x + 89 is added to the polynomial 4x⁴ + 2x³ - 2x² + x - 1 then the added polynomial is completely divisible by x² - 2x - 3.
Hope it helps.