MILTIPLY (3X + 4) ( X EXPONENTS2 -2X-5)
To multiply the expression (3x + 4) and (x^2 - 2x - 5), we can use the distributive property.
Step 1: Multiply every term in the first expression by every term in the second expression.
(3x + 4) * (x^2 - 2x - 5)
= 3x * (x^2 - 2x - 5) + 4 * (x^2 - 2x - 5)
Step 2: Use the distributive property to simplify each term.
= 3x * x^2 - 3x * 2x - 3x * 5 + 4 * x^2 - 4 * 2x - 4 * 5
Step 3: Simplify each term.
= 3x^3 - 6x^2 - 15x + 4x^2 - 8x - 20
Step 4: Combine like terms.
= 3x^3 - 6x^2 + 4x^2 - 15x - 8x - 20
Step 5: Combine like terms again to obtain the final answer.
= 3x^3 - 2x^2 - 23x - 20
Therefore, the product of (3x + 4) and (x^2 - 2x - 5) is 3x^3 - 2x^2 - 23x - 20.