Select the correct product.
1 answer:
The correct answer is: [A]: " 2x³ + 7x² + 12x − 8 " .______________________________________________________ Explanation: __________________________________________ Given: __________________________________________ " (x² + 4x + 8) (2x − 1) " ; Find the product: ↔ " (2x − 1) (x² + 4x + 8) " ; __________________________________________ Note: " (a + b) (c + d + e) = ab + ad + ae + bc + bd + ae " .__________________________________________ → " (2x − 1) (x² + 4x + 8) = (2x * x²) + (2x * 4x) + (2x *8) + (-1 * x²) + (-1 * 4x) + (-1 * 8) ; = 2x³ + 8x² + 16x + (-1x²) + (-4x) + (-8) ; = 2x³ + 8x² + 16x − x² − 4x − 8) ; → Combine the "like terms" : + 8x² − x² = + 7x² ; + 16x − 4x = + 12x ; _______________________________________________________ And rewrite the expression:_______________________________________________________ → " 2x³ + 7x² + 12x − 8 " ; → which is: Answer choice: [A]: " 2x³ + 7x² + 12x − 8 " ._______________________________________________________
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Step-by-step explanation:
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Step-by-step explanation:
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(PLUG IN)
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Hope this helps ya!!