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 1 -1 square -1 10 -3 12 120 square 13 -40square 2 Item 1 Item 2 Item Item 4 Item 5 Item 6 Item 7
Solution
4.6
(156 Votos)
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Veterano · Tutor por 10 anos
Resposta
To find
using synthetic substitution, we will use the coefficients of the polynomial
and the value
.Step 1: Write down the coefficients of
in descending order of their powers:
Step 2: Set up the synthetic array with the value
:
Step 3: Perform synthetic substitution:
The final row of the synthetic array gives us the coefficients of the resulting polynomial when
. Therefore,
.Answer: