Find the zero of
polynomial?
f(x) = 2x + 4/6
Answers
Answer:
-2/6 is the zero of the polynomial...
Answer:
f(x) = 2x⁴ + x³ - 14x² - 19x - 6
Two zeroes are -2 and -1
x = -2 x = -1
x+2 = 0 x+1 = 0
g(x) = (x+2)(x+1) = x²+3x+2
For taking out the other zeroes we will divide p(x) with g(x).
x²+3x+2 ) 2x⁴ + x³ - 14x² - 19x - 6( 2x² -5x - 3
2x⁴ + 6x³ + 4x²
(-) (-) (-)
-5x³ - 18x² - 19x
-5x³ - 15x² - 10x
(+) (+) (+)
-3x² - 9x - 6
-3x² - 9x - 6
0
2x² - 5x - 3 = 0
2x² + x - 6x - 3 = 0
x(2x+1) - 3(2x+1) = 0
(x-3)(2x+1) = 0
x = 3 x= ⁻¹/₂
All the zeroes are -1 , -2 , 3 and ⁻¹/₂
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