Question

resposta da eguacao4y2 + 3y​

Answer 1

Resposta:

Factoring 4y2-3y-10

The first term is, 4y2 its coefficient is 4 .

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

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

Step-1 : Multiply the coefficient of the first term by the constant 4 • -10 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is -3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 5

4y2 - 8y + 5y - 10

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

4y • (y-2)

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

5 • (y-2)

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

(4y+5) • (y-2)

Which is the desired factorization

Final result :

(y - 2) • (4y + 5)

Explicação passo-a-passo:

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