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If using the method of completing the square to solve the quadratics equation x^2+15x+34

Sagot :

Answer:

Factoring x2-15x-34

The first term is, x2 its coefficient is 1 .

The middle term is, -15x its coefficient is -15 .

The last term, "the constant", is -34

Step-1 : Multiply the coefficient of the first term by the constant 1 • -34 = -34

Step-2 : Find two factors of -34 whose sum equals the coefficient of the middle term, which is -15 .

-34 + 1 = -33

-17 + 2 = -15 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -17 and 2

x2 - 17x + 2x - 34

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

x • (x-17)

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

2 • (x-17)

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

(x+2) • (x-17)

Step-by-step explanation:

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