Answer:
Step-by-step explanation:
10x5+5x3-14x2-7
(5x3 - 7) • (2x2 + 1)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((10•(x5))+(5•(x3)))-(2•7x2))-7
Step 2 :
Equation at the end of step 2 :
(((10 • (x5)) + 5x3) - (2•7x2)) - 7
Step 3 :
Equation at the end of step 3 :
(((2•5x5) + 5x3) - (2•7x2)) - 7
Step 4 :
Checking for a perfect cube :
4.1 10x5+5x3-14x2-7 is not a perfect cube
Trying to factor by pulling out :
4.2 Factoring: 10x5+5x3-14x2-7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -14x2-7
Group 2: 10x5+5x3
Pull out from each group separately :
Group 1: (2x2+1) • (-7)
Group 2: (2x2+1) • (5x3)
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Add up the two groups :
(2x2+1) • (5x3-7)
Which is the desired factorization
