Question

1. Find the product of 2x4(2x2 + 3x + 4).

2x8 + 3x4 + 4x4
4x6 + 6x5 + 8x4
4x4 + 3x5 + 2x6
3x6 + 4x5 + 5x4

2. Find the product of (3x 4)(2x2 + 2x 1)
6x3 + 2x2 - 5x + 4
6x3 + 14x2 - 11x + 4
6x3 - 14x2 - 5x + 4
6x3 - 2x2 - 11x + 4

3. Find the product of (x2 + 4x 3)(2x2 + x + 6).
2x4 + 9x3 + 4x2 + 21x 18
2x4 + 9x3 + 10x2 + 21x 18
2x4 + 7x3 + 4x2 + 21x18
2x4 + 9x3 + 4x2 + 27x 18,

Answer 1

A) So 2x4(2x2 + 3x + 4)
4x^(4 + 2) + 6x^(1 + 4) + 8x4
4x^6 + 6x^5 + 8x^4
B) (3x 4)(2x2 + 2x 1)
6x^(4 + 2) + 6x^(4 + 1)
6x^6 + 6x^5
C) (x2 + 4x3)(2x2 + x + 6)
Expanding we have:
2x^4 + x^3 + 6x^2 + 8x(3 + 2) + 4x^4 + 24x^3
2x^4 + x^3 + 6x^2 + 8x5 + 4x^4 + 24x^3
8x^5 + 6x^4 + 25x^3 + 6x^2