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kirill [66]
3 years ago
9

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]3 years ago
5 0
4x^5 - 20x^4 - 36x^3 = 4x^3(x^2 - 5x - 9)
Mila [183]3 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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