factorize the given quadratic polynomial 12x^2+11x+2
Answers
Answer:
The first term is, 12x2 its coefficient is 12 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is +2
Step-1 : Multiply the coefficient of the first term by the constant 12 • 2 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -11 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -3
12x2 - 8x - 3x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (3x-2)
Add up the last 2 terms, pulling out common factors :
1 • (3x-2)
Step-5 : Add up the four terms of step 4 :
(4x-1) • (3x-2)
Which is the desired factorization
Answer:
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Step-by-step explanation:
12x²+11x+ 2
by shortcut
24x²
/ \
+8x/12. + 3x/12
2x/3. +1x/4
( 3x+2) (4x+1)
3x+2=0
3x=-2
x=-2/3
4x+1 = 0
4x=-1
x=-1/4