Question

factorize x²+100x+2304​

Answer 1

Step-by-step explanation:

x^2+100x+2304

x^2+34x+66x+2304

x(x+34)+66(x+34)

(x+34)(x+66)

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Answer 2

Answer:

x = 36 , 64

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -100x its coefficient is -100 .

The last term, "the constant", is +2304

Step-1 : Multiply the coefficient of the first term by the constant 1 • 2304 = 2304

Step-2 : Find two factors of 2304 whose sum equals the coefficient of the middle term, which is -100 .

-2304 + -1 = -2305

-1152 + -2 = -1154

-768 + -3 = -771

-576 + -4 = -580

-384 + -6 = -390

-288 + -8 = -296

-256 + -9 = -265

-192 + -12 = -204

-144 + -16 = -160

-128 + -18 = -146

-96 + -24 = -120

-72 + -32 = -104

-64 + -36 = -100 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -64 and -36

x2 - 64x - 36x - 2304

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

x • (x-64)

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

36 • (x-64)

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

(x-36) • (x-64)

Which is the desired factorization

so, x = 36 , 64

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