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Factor the polynomial.3x^6y^2+81y^2 A)3y^2(x^2+3)(x^4-3x^2-9) B)3y^2(x^2-3)(x^4+3×+9) C)prime polynomial D)3y^2(x^2+3)(x^4-3x^2+9)
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Sep 25, 2018
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Factor the polynomial.3x^6y^2+81y^2
A)3y^2(x^2+3)(x^4-3x^2-9)
B)3y^2(x^2-3)(x^4+3×+9)
C)prime polynomial
D)3y^2(x^2+3)(x^4-3x^2+9)
Mathematics
middle-school
Jem
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3x⁶
y
²
+81y
² =
3y²(x⁶+27) =
3y²((x²)³+3³)=
3y²(x²+3)(x⁴-3x²+9)
Answer: D.
Stefan Scherer
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Sep 27, 2018
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Stefan Scherer
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Answer is choice D
The reason why is...
3x^6y^2 + 81y^2 = 3y^2(x^6 + 27)
3x^6y^2 + 81y^2 = 3y^2((x^2)^3 + 3^3)
3x^6y^2 + 81y^2 = 3y^2(x^2 + 3)((x^2)^2 - (x^2)*3 + 3^2)
3x^6y^2 + 81y^2 = 3y^2(x^2 + 3)(x^4 - 3x^2 + 9)
Elias Meire
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Oct 1, 2018
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Elias Meire
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