45.5k views
5 votes
Styles

(Score for Question 2: ___ of 5 points)
2. What is the product of -2x3 + x - 5 and x3 - 3x - 4?
(a) Show your work
(b) Is the product of -2x3 + x - 5 and x3 - 3x – 4 equal to the product of x3 - 3x - 4 and
-2x3 + x-5? Explain your answer.
Answer

1 Answer

4 votes

Answer:-2x^6+7x^4+3x^3-3x^2+11x+20

Step-by-step explanation:(2x^3+x-5)(x^3-3x-4)

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

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

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

=2x^6+x^4-5x^3+6x^4-3x^2+15x+8x^3_4x+20

Combine like term

2x^6 (x^4+6x^4)+-5x^3+8x^3)-3x^2+(15x-4x)+20

2x^6+7x^4+3x^3-3x^2+11x+20

User Sam Sha
by
4.4k points