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2 years ago

factor completely 4x5 − 20x4 − 36x3. 4(x5 − 5x4 − 9x3) x3(4x2 − 20x − 36) x2 − 5x − 9 4x3(x2 − 5x − 9)

Mathematics

2 answers:

ra1l [238]2 years ago

5 0

4x^5 - 20x^4 - 36x^3 = 4x^3(x^2 - 5x - 9)

Mila [183]2 years ago

3 0

Consider the polynomial $4x^5 - 20x^4 - 36x^3.$ It has three terms and their greatest common factor is $4x^3.$

Since

$4x^5=4x^3\cdot x^2,\\20x^4=4x^3\cdot 5x,\\36x^3=4x^3\cdot 9,$

then

$4x^5 - 20x^4 - 36x^3=4x^3(x^2-5x-9)$ (you write in brackets the same sign as the corresponding term has).

Answer: correct choice is D.

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