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Factor completely. 2x^(2)+32 x+126 Answer:

Factor completely.\newline2x2+32x+126 2 x^{2}+32 x+126 \newlineAnswer:

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Full solution

Q. Factor completely.\newline2x2+32x+126 2 x^{2}+32 x+126 \newlineAnswer:
  1. Identify Common Factor: Look for a common factor in all terms.\newlineThe polynomial is 2x2+32x+1262x^2 + 32x + 126. We can see that all terms are even numbers, so we can factor out a 22.\newline2(x2+16x+63)2(x^2 + 16x + 63)
  2. Factor Quadratic Expression: Factor the quadratic expression inside the parentheses.\newlineWe need to find two numbers that multiply to 2×63=1262 \times 63 = 126 and add up to 1616. These numbers are 99 and 77.\newline2(x+9)(x+7)2(x + 9)(x + 7)

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