Question

factorise y^2 + 3y + 24​

Answer 1

Step-by-step explanation:

Factoring y2-3y-24

The first term is, y2 its coefficient is 1 .

The middle term is, -3y its coefficient is -3 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -3 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2

-4 + 6 = 2

-3 + 8 = 5

-2 + 12 = 10

-1 + 24 = 23

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

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