3x² + 23x - 1136 = 0
Answers
Answer:
STEP
1
:
Equation at the end of step 1
(3x2 + 23x) - 1136
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 3x2+23x-1136
The first term is, 3x2 its coefficient is 3 .
The middle term is, +23x its coefficient is 23 .
The last term, "the constant", is -1136
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1136 = -3408
Step-2 : Find two factors of -3408 whose sum equals the coefficient of the middle term, which is 23 .
-3408 + 1 = -3407
-1704 + 2 = -1702
-1136 + 3 = -1133
-852 + 4 = -848
-568 + 6 = -562
-426 + 8 = -418
-284 + 12 = -272
-213 + 16 = -197
-142 + 24 = -118
-71 + 48 = -23
-48 + 71 = 23 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -48 and 71
3x2 - 48x + 71x - 1136
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-16)
Add up the last 2 terms, pulling out common factors :
71 • (x-16)
Step-5 : Add up the four terms of step 4 :
(3x+71) • (x-16)
Which is the desired factorization
Final result :
(x - 16) • (3x + 71)
Step-by-step explanation:
MARK ME BRAINLIST
Answer:
Answer:
The change in velocity in unit time is called acceleration.
Acceleration is a vector.
The direction of acceleration will be in the direction of change in velocity.
Its SI unit is metre / second ² abbreviated as m/s²