Solution - Simplification or other simple results
7*(4x^2-9x-5)
Step by Step Solution
Step 1 :
Equation at the end of step 1 :
((22•7x2) - 63x) - 35
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
28x2 - 63x - 35 = 7 • (4x2 - 9x - 5)
Trying to factor by splitting the middle term
3.2 Factoring 4x2 - 9x - 5
The first term is, 4x2 its coefficient is 4 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -9 .
| -20 | + | 1 | = | -19 | ||
| -10 | + | 2 | = | -8 | ||
| -5 | + | 4 | = | -1 | ||
| -4 | + | 5 | = | 1 | ||
| -2 | + | 10 | = | 8 | ||
| -1 | + | 20 | = | 19 |
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
7 • (4x2 - 9x - 5)
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