To multiply and simplify the expressions (x²+2x-4) and (5x² - 2x - 11), you can follow these steps:
1. Multiply each term in the first expression by each term in the second expression:
(x²)(5x²) + (x²)(-2x) + (x²)(-11) + (2x)(5x²) + (2x)(-2x) + (2x)(-11) + (-4)(5x²) + (-4)(-2x) + (-4)(-11)
2. Simplify the resulting expression by multiplying the coefficients and adding the exponents:
5x^4 - 2x^3 - 11x² + 10x³ - 4x² - 22x - 20x² + 8x + 44
3. Combine like terms to simplify further:
5x^4 + 8x^3 - 34x² - 14x + 44
Therefore, the product of (x²+2x-4) and (5x² - 2x - 11) is 5x^4 + 8x^3 - 34x² - 14x + 44, which is the simplified form of the multiplication result.
