factorize the polynomial completely (3x^3+16x^2+21x+20)÷(X+4)
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hope it will help you:-)
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Answer:
3x² + 4x + 5
Step-by-step explanation:
⇒ (3x³ + 16x² + 21x + 20) ÷ (x+4)
Factorization, and finding the common factor (x+4):
⇒ (3x³ + 12x² + 4x² + 16x + 5x + 20) ÷ (x+4)
⇒ {3x²(x + 4) + 4x(x + 4) + 5(x + 4)} ÷ (x+4)
⇒ {(3x² + 4x + 5)(x + 4)} ÷ (x+4)
⇒ (3x² + 4x + 5)
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