Answer:
B
Step-by-step explanation:
the product (2x² - 3x - 8)(3x² + 5x + 1) is required
multiply each term in the second factor by each term in the first factor.
= 2x²(3x² + 5x + 1) - 3x(3x² + 5x + 1) - 8(3x² + 5x + 1) ← distribute
= 6
+ 10x³ + 2x² - 9x³ - 15x² - 3x - 24x² - 40x - 8
collecting like terms gives
6
+ x³ - 37x² - 43x - 8 → B
Prime factorization means finding the prime numbers that you can multiply to make a certain number.
So, he prime factorization of 36 would be 2 x 2 x 3 x 3 or 2, 2, 3, and 3.
Just to make sure: 2 x 2 = 4 4 x 3 = 12 12 x 3 = 36
There's your answer!