Divide the two polynomials using long division. Then fill in the blanks below.
1 answer:
The division of the polynomial 9x² - 6x - 8 by the polynomial 3x + 2 gives a quotient of 3x - 4 with no remainder
<h3>How to carry out the long division?</h3>The given parameters are:
- Dividend = 9x² - 6x - 8
- Divisor = 3x + 2
To carry out the division, we continue dividing the leading term of the dividend by the leading term of the divisor
At the end of each division step, the quotient is multiplied by the divisor and the result of the product is subtracted from the dividend.
Using the above step, the result of the division is:
Quotient = 3x - 4
Remainder = 0
See attachment for the steps of the long division
Read more about long division at:
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Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum =
=
=
=
=
= 7 * 25
= 175