Question

Which expression represents the product or x3+2x-1 and x4 - x3+3?

Answer 1

Answer:

4th option

Step-by-step explanation:

(x³ + 2x - 1)($x^{4}$ - x³ + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x³($x^{4}$ - x³ + 3) + 2x($x^{4}$ - x³ + 3) - 1 ($x^{4}$ - x³ + 3) ← distribute parenthesis

= $x^{7}$ - $x^{6}$ + 3x³ + 2$x^{5}$ - 2$x^{4}$ + 6x - $x^{4}$ + x³ - 3 ← collect like terms

= $x^{7}$ - $x^{6}$ + 2$x^{5}$ - 3$x^{4}$ + 4x³ + 6x - 3