Question

Multiply (x – 4)(x2 – 3x + 5).

x3 + 5x2 + 5x – 20
x3 + 2x2 + 8x – 20
x3 – x2 + 7x – 20
x3 – 7x2 + 17x – 20

Answer 1

(x – 4)(x² – 3x + 5)

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

Answer 2

d)
`x^3 -7x^2+17x-20`

Explanation:

We have to find the product of two expressions
`(x-4)* (x^2-3x+5)`

The step-wise multiplication is shown below:

`(x-4)* (x^2-3x+5)\\=((x* x^2) - (x* 3x) + (x* 5)) - ((4* x^2) - (4* 3x) + (4* 5))\\=x^3 - 3x^2 + 5x - 4x^2 + 12x - 20\\=x^3 -7x^2+17x-20`

Thus, the product of two expression is
`x^3 -7x^2+17x-20`.

The correct option is option d)