Pls solve quick....
I need it ASAP
Answers
Answer:
I don't know
Step-by-step explanation:
because I in class 6th
Answer:
Step-by-step explanation:
we have to obtain all other zeros of the polynomial x⁴ + 2x³ - 13x² - 38x - 24, if two of its zeros are -1 and -2.
here, -1, -2 are zeros of x⁴ + 2x³ - 13x² - 38x - 24.
so, (x + 1) and (x + 2) are factors of x⁴ + 2x³ - 13x² - 38x - 24 .
so, (x + 1)(x + 2) or x² + 3x + 2, is also a factor of x⁴ + 2x³ - 13x² - 38x - 24 .
so, on dividing x⁴ + 2x³ - 13x² - 38x - 24 by x² + 3x + 2 we will get another factor.
x² + 3x + 2)x⁴ + 2x³ - 13x² - 38x - 24 ([x² - x-12]
x⁴ + 3x³ + 2x²
---------------------
-x³ - 15x² - 38x
- x³ - 3x² - 2x
---------------------
-12x² - 36x -24
-12x² - 36x - 24
-------------------------
0
so, another factor of x⁴ + 2x³ - 13x² - 38x - 24 is (x² - x - 12)
then, (x² - x - 12) = 0
or, x² - 4x + 3x - 12 = 0
or, x(x - 4) + 3(x - 4) = 0
or, (x + 3)(x - 4) = 0
or, x = -3 and 4
hence, another zeros are ; -3 and 4