Question
DIRECTIONS: Use the information to answer Parts A and B. p(x)=x^4-x^3+x^2-x+10 Part A Use synthetic substitution to find p(-3) Enter the correct values or expressions in the boxes to complete the synthetic array. Show Hints
Solution
4.3
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Resposta
To find
using synthetic substitution, we will set up a synthetic array with the coefficients of the polynomial
and the value
.Step 1: Write down the coefficients of
in descending order of their powers:
Step 2: Bring down the first coefficient (1) as it is.Step 3: Multiply the value
by the number just brought down (1) and write the result under the next coefficient (-1).Step 4: Add the numbers in the second column to get the new number to bring down.Step 5: Repeat steps 3 and 4 until all coefficients have been used.The synthetic array should look like this:
The last row of numbers represents the coefficients of the resulting polynomial after synthetic substitution. The last number (112) is the value of
.Therefore,
.