3xsquare-5×+2 factorise
Answers
Answer:
The first term is, 3x2 its coefficient is 3 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 3 • 2 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .
-6 + -1 = -7
-3 + -2 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -2
3x2 - 3x - 2x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (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 :
(3x-2) • (x-1)
Which is the desired factorization
(x - 1) • (3x - 2)
Step-by-step explanation:
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