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Answer:
-9a3 + 4a2 + 6a + 2
Step-by-step explanation:
step 1 Equation at the end of step 1 :(5-(9•(a3)))+((22a2+6a)-3)
Equation at the end of step
2: (5 - 32a3) + (4a2 + 6a - 3)
STEP 3 Checking for a perfect cube : 3.1 -9a3+4a2+6a+2 is not a perfect cube
Trying to factor by pulling out: 3.2 Factoring: -9a3+4a2+6a+2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 6a+2
Group 2: -9a3+4a2
Pull out from each group separately :
Group 1: (3a+1) • (2)
Group 2: (9a-4) • (-a2)
Bad news ! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Let me try again
Polynomial Roots Calculator : 3.3 Find roots (zeroes) of : F(a) = -9a3+4a2+6a+2
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers a which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is -9 and the Trailing Constant is 2.
The factor(s) are:
of the Leading Coefficient : 1,3 ,9
of the Trailing Constant : 1 ,2