Question

splitting the middle term 2x^2+x-15​

Answer 1

Answer:

2.1 Factoring 2x2+x-15

The first term is, 2x2 its coefficient is 2 .

The middle term is, +x its coefficient is 1 .

The last term, "the constant", is -15

Step-1 : Multiply the coefficient of the first term by the constant 2 • -15 = -30

Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 1 .

-30 + 1 = -29

-15 + 2 = -13

-10 + 3 = -7

-6 + 5 = -1

-5 + 6 = 1 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 6

2x2 - 5x + 6x - 15

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

x • (2x-5)

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

3 • (2x-5)

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

(x+3) • (2x-5)

Which is the desired factorization

Equation at the end of step

2

:

(2x - 5) • (x + 3) = 0

STEP

3

:

Theory - Roots of a p

Step-by-step explanation:

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