Respuesta :

(x – 4)(x² – 3x + 5)

x³ -3x² +5x -4x² +12x -20
x³-7x² +17x -20

Answer:

d)  [tex]x^3 -7x^2+17x-20[/tex]

Step-by-step explanation:

We have to find the product of two expressions [tex](x-4)\times (x^2-3x+5)[/tex]

The step-wise multiplication is shown below:

[tex](x-4)\times (x^2-3x+5)\\=((x\times x^2) - (x\times 3x) + (x\times 5)) - ((4\times x^2) - (4\times 3x) + (4\times 5))\\=x^3 - 3x^2 + 5x - 4x^2 + 12x - 20\\=x^3 -7x^2+17x-20[/tex]

Thus, the product of two expression is [tex]x^3 -7x^2+17x-20[/tex].

The correct option is option d)