Question

Multiply the polynomials
(2x - 5) (-3x^2 + 4x - 7)

Answer 1

$(2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35$

Answer 2

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.