Answer:
(3a2 + 8) • (a - 6)
Step-by-step explanation:
STEP 1:
Equation at the end of step 1
(((3 • (a3)) - (2•32a2)) + 8a) - 48
STEP 2:
Equation at the end of step 2:
((3a3 - (2•32a2)) + 8a) - 48
STEP 3:
Checking for a perfect cube
3.1 3a3-18a2+8a-48 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 3a3-18a2+8a-48
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 8a-48
Group 2: -18a2+3a3
Pull out from each group separately :
Group 1: (a-6) • (8)
Group 2: (a-6) • (3a2)
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Add up the two groups :
(a-6) • (3a2+8)
Which is the desired factorization
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(a) = 3a2+8
Polynomial Roots Calculator is a set of methods aimed at finding values of a for which F(a)=0
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 3 and the Trailing Constant is 8.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1 ,2 ,4 ,8
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