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Please help. I will mark you as brainliest !

If x-3 is a factor of P(x)=x^3- 7x²+15x – 9, which of the following represents the complete factorization for P(x)?
A. (x - 3)(x+4)(x+1)
B. (x - 3)(x+3)(x+1)
c. (x – 3)(x+3)(x-1)
D. (x - 3)(x - 3)(x-1)

Respuesta :

nharnahabenaahnelson

Answer:

[tex]x \times x + x \times 4 + x \times x + x \times 1 - 3 \times x + 3 \times 4 + 3 \times x + 3 \times 1 [/tex]

cairde

Answer:

D. (x-3)(x-3)(x-1)

Step-by-step explanation:

(x³-7x²+15x-9)/(x-3) = x²-4x+3 (see attached)

x²-4x+3=(x-1)(x-3) (factorisation)

∴x³-7x²+15x-9=(x-3)(x-3)(x-1)

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