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. square Item 1 Item 2 Item 3 Item 4 Item 5 Item 6 Item 7
Solution
4.1
(338 Votos)
Paulo
Mestre · Tutor por 5 anos
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 the first number in the synthetic array.Step 3: Multiply the number just brought down (1) by the value of
(-3) and write the result below the next coefficient (-1).Step 4: Add the numbers in the second column to get the next number in the synthetic array.Step 5: Repeat steps 3 and 4 for each column.The synthetic array should look like this:
Therefore, the completed synthetic array is:
So, the correct values or expressions to complete the synthetic array are:Item 1: -3Item 2: 1Item 3: -1Item 4: 1Item 5: -1Item 6: 10Item 7: 40