9x² + 7x-2 factorise
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Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is 7 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 9 and -2
9x^2 + 9x - 2x - 2
Step-4 : Add up the first 2 terms, pulling out like factors : 9x * (x+1)
Add up the last 2 terms, pulling out common factors : -2 * (x+1)
Step-5 : Add up the four terms of step 4 : (9x-2) * (x+1)
which is the desired factorization
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