Answer:
(x²-3) is a factor of 2x⁴+3x³-2x²-9x-12.
Step-by-step explanation:
Let p(x)=2x⁴+3x³-2x²-9x-12,
and g(x)=x²-3.
Find p(x)÷g(x)
Quotient:2x²+3x+4
x²-3)2x⁴+3x³-2x²-9x-12(
***** 2x⁴+0-6x²
_______________________
********* 3x³+4x²-9x
********* 3x³+0 -9x
________________________
************* 4x²-12
_________________________
Remainder (0)
Therefore,
g(x) is a factor of p(x)
•••♪
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Answers & Comments
Answer:
(x²-3) is a factor of 2x⁴+3x³-2x²-9x-12.
Step-by-step explanation:
Let p(x)=2x⁴+3x³-2x²-9x-12,
and g(x)=x²-3.
Find p(x)÷g(x)
Quotient:2x²+3x+4
x²-3)2x⁴+3x³-2x²-9x-12(
***** 2x⁴+0-6x²
_______________________
********* 3x³+4x²-9x
********* 3x³+0 -9x
________________________
************* 4x²-12
************* 4x²-12
_________________________
Remainder (0)
Therefore,
g(x) is a factor of p(x)
(x²-3) is a factor of 2x⁴+3x³-2x²-9x-12.
•••♪