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ikadub [295]
2 years ago
12

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out

.
What is the common binomial factor between the two groups after their GCFs have been factored out?


2x + 5

2x − 5

x2 − 2

x2 + 2
Mathematics
2 answers:
Ugo [173]2 years ago
8 0

Answer: \\ 2 {x}^{3}  -  5 {x}^{2}  + 4x - 10 \\  = (2 {x}^{3}  + 4x) - (5 {x}^{2}  + 10) \\  = 2x( {x}^{2}  + 2) - 5( {x}^{2}  + 2) \\  = ( {x}^{2}  + 2)(2x - 5) \\ Common  \: binomial \:  factor:2x - 5

natita [175]2 years ago
3 0

2x³ - 5x² + 4x - 10

(2x³ + 4x) + (-5x² - 10)

2x(x² + 2) - 5(x² + 2) = x² + 2

Answer is Choice D. x² + 2

i hope this helped!

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