Question

Solve( d²+5d+6)y=0is

Answer 1

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Step-by-step explanation:

The first term is, d2 its coefficient is 1 .

The middle term is, -5d its coefficient is -5 .

The last term, "the constant", is +6

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

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + -1 = -7

-3 + -2 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -2

d2 - 3d - 2d - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

d • (d-3)

Add up the last 2 terms, pulling out common factors :

2 • (d-3)

Step-5 : Add up the four terms of step 4 :

(d-2) • (d-3)

Which is the desired factorization