Factorixe 6x²-9x-10..................

1.	Factorixe 6x²-9x-10..................
Answer» Factorising 6x²-9x-10 The first term is, 6x² its coefficient is 6 . The MIDDLE term is, -9x its coefficient is -9 . The last term, "the constant", is -10 Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60 Step-2 : FIND TWO factors of -60 whose sum equals the coefficient of the middle term, which is -9 . -60 + 1 = -59 -30 + 2 = -28 -20 + 3 = -17 -15 + 4 = -11 -12 + 5 = -7 -10 + 6 = -4 -6 + 10 = 4 -5 + 12 = 7 -4 + 15 = 11 -3 + 20 = 17 -2 + 30 = 28 -1 + 60 = 59 Observation : No two such factors can be found !!

Answer»

Factorising 6x²-9x-10

The first term is, 6x² its coefficient is 6 .

The MIDDLE term is, -9x its coefficient is -9 .

The last term, "the constant", is -10

Step-1 : Multiply the coefficient of the first term by the constant 6 • -10 = -60

Step-2 : FIND TWO factors of -60 whose sum equals the coefficient of the middle term, which is -9 .

-60 + 1 = -59

-30 + 2 = -28

-20 + 3 = -17

-15 + 4 = -11

-12 + 5 = -7

-10 + 6 = -4

-6 + 10 = 4

-5 + 12 = 7

-4 + 15 = 11

-3 + 20 = 17

-2 + 30 = 28

-1 + 60 = 59

Observation : No two such factors can be found !!

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