Q. If p(x)=4x2+15x−19, use synthetic division to find p(−3).
Write Coefficients and Value: Write down the coefficients of p(x) and the value for synthetic division.Coefficients: 4, 15, −19Value for synthetic division: −3
Set up Synthetic Division: Set up the synthetic division table with −3 and the coefficients.−3∣415−19
Bring Down Leading Coefficient: Bring down the leading coefficient to the bottom row.−3∣415−19\phantom{space}\,|\underline{\phantom{space}}\phantom{space}\,\phantom{space}\,4
Multiply and Write Result: Multiply −3 by 4 and write the result under the next coefficient.−3∣415−19\phantom{0}\,|\,____04−12
Add Numbers in Second Column: Add the numbers in the second column.−3∣415−190∣0043
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