Find all zeroes of the polynomial p(x)= 3x³+10x²-9x-4, if one zerof it zero is 1
Answers
Answer:
3x3-10x2+9x-2=0
Three solutions were found :
x = 2
x = 1/3 = 0.333
x = 1
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3 • (x3)) - (2•5x2)) + 9x) - 2 = 0
Step 2 :
Equation at the end of step 2 :
((3x3 - (2•5x2)) + 9x) - 2 = 0
Step 3 :
Checking for a perfect cube :
3.1 3x3-10x2+9x-2 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 3x3-10x2+9x-2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 9x-2
Group 2: 3x3-10x2
Pull out from each group separately :
Group 1: (9x-2) • (1)
Group 2: (3x-10) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Step-by-step explanation:
Refer to the attatched file.
:)