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the FOIL method or the box {:[8)(x+1)(3x-6)],[3x^(2)]:}

the FOIL method or the box\newline8)(x+1)(3x−6)3x2 \begin{array}{l} 8)(x+1)(3 x-6) \\ 3 x^{2} \end{array}

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Write a quadratic function from its x-intercepts and another pointright chevron icon

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Q. the FOIL method or the box\newline8)(x+1)(3x−6)3x2 \begin{array}{l} 8)(x+1)(3 x-6) \\ 3 x^{2} \end{array}
  1. Distribute 88 into binomial: First, distribute the 88 into the binomial (x+1)(x+1) to get 8x+88x + 8.
  2. Use FOIL method: Now, use the FOIL method to multiply (8x+8)(8x + 8) by (3x−6)(3x - 6).\newlineFirst: 8x×3x=24x28x \times 3x = 24x^2
  3. Calculate first term: Outer: 8x×−6=−48x8x \times -6 = -48x
  4. Calculate outer term: Inner: 8×3x=24x8 \times 3x = 24x
  5. Calculate inner term: Last: 8×−6=−488 \times -6 = -48
  6. Calculate last term: Combine like terms: 24x2+(−48x+24x)−4824x^2 + (-48x + 24x) - 48
  7. Combine like terms: Simplify the middle terms: −48x+24x=−24x-48x + 24x = -24x
  8. Simplify middle terms: Write the final expanded form: 24x2−24x−4824x^2 - 24x - 48

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