45v^4+18v^3+4v^2 divide 9v^3
Answers
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
STEP
2
:
Equation at the end of step
2
:
STEP
3
:
Equation at the end of step
3
:
STEP
4
:
Equation at the end of step
4
:
STEP
5
:
45v4 + 18v3 + 4v2
Simplify —————————————————
32v3
STEP
6
:
Pulling out like terms
6.1 Pull out like factors :
45v4 + 18v3 + 4v2 = v2 • (45v2 + 18v + 4)
Trying to factor by splitting the middle term
6.2 Factoring 45v2 + 18v + 4
The first term is, 45v2 its coefficient is 45 .
The middle term is, +18v its coefficient is 18 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 45 • 4 = 180
Step-2 : Find two factors of 180 whose sum equals the coefficient of the middle term, which is 18 .
-180 + -1 = -181
-90 + -2 = -92
-60 + -3 = -63
-45 + -4 = -49
-36 + -5 = -41
-30 + -6 = -36
For tidiness, printing of 30 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Dividing exponential expressions :
6.3 v2 divided by v3 = v(2 - 3) = v(-1) = 1/v1 = 1/v
Polynomial Long Division :
6.4 Polynomial Long Division
Dividing : 45v2+18v+4
("Dividend")
By : 9v ("Divisor")
dividend 45v2 + 18v + 4
- divisor * 5v1 45v2
remainder 18v + 4
- divisor * 2v0 18v
remainder 4
Quotient : 5v+2
Remainder : 4
Final result :
45v2 + 18v + 4
——————————————
9v
See results of polynomial long division:
1. In step #06.04