Unit: 1.2.2 : Synthetic Division
1. (a) What is the degree of quotient when the degree of polynomial is 'n' in
synthetic division?
Solution:
The degree of quotient is n-1.
1. (b) What should be the expression of division in synthetic division?
Solution:
In synthetic division the divisor must be linear and dividend must be in standard form.
2. Use synthetic division and divide in each of the following:
(a) by
Solution:
Let
Zero of is 2.
Using synthetic division, we get,
Here, quotient
Remainder
2. (b) by
Solution:
Let,
Zero of is
Now, using synthetic division, we get,
Here, quotient
Remainder
2. (c) by
Solution:
Let,
Zero of polynomial is 2.
Now, using synthetic division, we get,
Quotient
Remainder
2. (d) by
Solution:
Let,
Zero of is -3.
Now, using synthetic division, we get,
Here, Quotient
Remainder
2. (e) by
Solution:
Let,
Zero of polynomial is
Now, using synthetic division, we get,
Here,
Remainder
Here, quotient
Remainder
2. (b) by
Solution:
Let,
Zero of is
Now, using synthetic division, we get,
Here, quotient
Remainder
2. (c) by
Solution:
Let,
Zero of polynomial is 2.
Now, using synthetic division, we get,
Quotient
Remainder
2. (d) by
Solution:
Let,
Zero of is -3.
Now, using synthetic division, we get,
Here, Quotient
Remainder
2. (e) by
Solution:
Let,
Zero of polynomial is
Now, using synthetic division, we get,
Here,
Remainder