Choose the product.(5x² + 2x - 3)(x - 1)
5x - 2x² + 3x⁴
5x² - 5x - 1
7x³ + 6x² - 1x
5x³ - 3x² - 5x + 3

Solution:

The expression (5x² + 2x - 3)(x - 1) can be expanded as

(5x² + 2x - 3)(x - 1)

= 5x²(x - 1) + 2x(x - 1) -3(x - 1)

= 5x³ - 5x² + 2x² - 2x - 3x + 3

= 5x³ - 3x² - 5x + 3

Another example of such a multiplication is as follows:

Multiply x - 5 by 2x² - 3x - 1

We can therefore write:

(x - 5)(2x² - 3x - 1 )

= (x - 5)(2x²) - (3x)(x - 5) - (1)(x - 5)

= 2x³ - 10x² - 3x² + 15x - x + 5

= 2x³ - 13x² + 14x + 5

Choose the product.(5x² + 2x - 3)(x - 1)

Summary:

The product of (5x² + 2x - 3)(x - 1) is 5x³ - 3x² - 5x + 3.