Question

x^2+2underoot3x-24 factories​

Answer 1

Answer:

Step-by-step explanation:x² - 2√3x - 24

we should split 2√3 in such a what that product of each components of 2√3 must be equals -24 .

so, let's try .

2√3 can be written (4√3 - 2√3)

And also 4√3 × -2√3 = -4 × 2 × 3 = -24

∴ x² - 2√3x - 24

= x² - (4√3 - 2√3)x - 24

= x² - 4√3x + 2√3x - 24

= x(x - 4√3) + 2√3(x - 4√3)

= (x + 2√3)(x - 4√3)

Hence, factorisation of x² - 2√3x - 24 = (x + 2√3)(x - 4√3)

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