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Sagot :
Answer:
Option d
Step-by-step explanation:
Given options are ,
- 12x² + 8x = 4x( 3x + 2)
Firstly find the GCF of 12x² and 8x .
The GCF of 12 and 8 is 4 , whereas the GCF of x² and x is x , So
→ GCF(12x² , 8x) = 4*x = 4x
Therefore the GCF is correctly factored out from the polynomial .
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- 15x² + 12x + 9 = 3(5x² + 4x +3)
Here GCF of 15x² , 12x and 9 , will be ;
GCF of 15,12 and 9 is 3 whereas of x² , x and 1 is 1
→ GCF = 3*1 = 3
Therefore the GCF is correctly factored out from the polynomial .
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- 4x⁴+ 12x³ +18x² = 2x²(2x² + 6x + 9 )
Here GCF of 4 , 12 and 18 is 2 and that of x⁴ , x³ and x² is x² . So ,
→ GCF = 2*x² = 2x²
Therefore the GCF is correctly factored out from the polynomial .
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- 16x^5 + 24x² = 4x²( 4x³ + 6 )
Here GCF of 16 and 24 is 8 and that of x^5 and x² is x² . So ,
→ GCF = 8*x² = 8x²
But they have factored out 4x² .
Therefore the GCF is " not " correctly factored out from the polynomial .
Option d is correct .
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