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If p(x)=4x2+15x19p(x) = 4x^2 + 15x - 19, use synthetic division to find p(3)p(-3).

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Q. If p(x)=4x2+15x19p(x) = 4x^2 + 15x - 19, use synthetic division to find p(3)p(-3).
  1. Write Coefficients and Value: Write down the coefficients of p(x)p(x) and the value for synthetic division.\newlineCoefficients: 44, 1515, 19-19\newlineValue for synthetic division: 3-3
  2. Set up Synthetic Division: Set up the synthetic division table with 3-3 and the coefficients.\newline341519-3 | 4 \quad 15 \quad -19
  3. Bring Down Leading Coefficient: Bring down the leading coefficient to the bottom row.\newline341519-3 \,|\, 4\, 15\, -19\newline\phantom{space}\,|\underline{\phantom{space}}\newline\phantom{space}\,\phantom{space}\,44
  4. Multiply and Write Result: Multiply 3-3 by 44 and write the result under the next coefficient.\newline341519-3 \,|\, 4 \,\, 15 \,\, -19\newline\phantom{0}\,|\,____\newline0412\phantom{0}\,\,\,\, 4 \,\, -12
  5. Add Numbers in Second Column: Add the numbers in the second column.\newline341519-3 \,|\, 4 \quad 15 \quad -19\newline00\phantom{0} \,|\,\underline{\phantom{0}}\newline043\phantom{0} \quad 4 \quad 3
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