Divide (–15x5 – 16x4 + 84x3 – 17x2 – 9x – 15) by (x – 8/5) using synthetic division.
1 answer:
Synthetic division work with the coefficient of the given polynomial expression
We have
-15 -16 84 -17 -9 -15
and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅
Refer to the diagram below for the steps of synthetic division
Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.
Repeat the steps until we use up all the remaining coefficients
The final values are the coefficients of the quotient and the last value is the reminder
We have
-15 -16 84 -17 -9 -15
and the divisor is:
x - ⁸/₅ = 0
x = ⁸/₅
Refer to the diagram below for the steps of synthetic division
Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.
Repeat the steps until we use up all the remaining coefficients
The final values are the coefficients of the quotient and the last value is the reminder
You might be interested in
Answer:
= 1
Step-by-step explanation:
The n th term of an arithmetic progression is
= a + (n - 1)d
where a is the first term and d the common difference
use the 9 th term and 7 th term to find a and d
= a + 8d =
→ (1)
= a + 6d =
→ (2)
Subtract (2) from (1) term by term
2d = ⇒ d =
Substitute this value into (2) and solve for a
a + =
a = -
=
Hence
=
+
= 1