Question

(d^2-3d-10) ÷ ( d) divide the following
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Answer 1

Answer:

first term is, d2 its coefficient is 1 .

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

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

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

Step-2 : Find two factors of -10 whose sum equals the coefficient of the middle term, which is -3 .

-10 + 1 = -9

-5 + 2 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 2

d2 - 5d + 2d - 10

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

d • (d-5)

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

2 • (d-5)

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

(d+2) • (d-5)

Which is the desired factorization

Equation at the end of step

1

:

(d + 2) • (d - 5) = 0