Question

x²-2x-24 please solve this question
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Answer 1

Answer:

x^2 -2x - 24 = x^2 +4x -6x _24

=x(x+4)-6(x+4)

=(x+4)(x-6)

Step-by-step explanation:

Answer 2

hi mate,

here,

x2-2x-24

Final result :

(x + 4) • (x - 6)

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-2x-24

The first term is, x2 its coefficient is 1 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -24

Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4

x2 - 6x + 4x - 24

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

x • (x-6)

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

4 • (x-6)

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

(x+4) • (x-6)

Which is the desired factorization

Final result :

(x + 4) • (x - 6)

i hope its helps you.