Factorise: 54x2 + 42x3 – 30x4
Answers
Answer:
54x2 + 42x3 – 30x4
104+126-120
230-120
110 Ans
Answer:
−6x²(5x² −7x −9)
Step-by-step explanation:
STEP1:
Equation at the end of step 1
((54•(x2))+(42•(x3)))-(2•3•5x4)
STEP 2:
Equation at the end of step2:
((54 • (x2)) + (2•3•7x3)) - (2•3•5x4)
STEP 3:
Equation at the end of step3:
((2•33x2) + (2•3•7x3)) - (2•3•5x4)
STEP4:
STEP5:
Pulling out like terms
5.1 Pull out like factors :
-30x4 + 42x3 + 54x2 = -6x2 • (5x2 - 7x - 9)
Trying to factor by splitting the middle term
5.2 Factoring 5x2 - 7x - 9
The first term is, 5x2 its coefficient is 5 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 5 • -9 = -45
Step-2 : Find two factors of -45 whose sum equals the coefficient of the middle term, which is -7 .
-45 + 1 = -44
-15 + 3 = -12
-9 + 5 = -4
-5 + 9 = 4
-3 + 15 = 12
-1 + 45 = 44
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :-6x2 • (5x2 - 7x - 9)
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