Question

What is the product (x² + 1)(x² + x - 2)?

x²-x³ + 3x²-xX+2
X
x² + x³ + x² + x -2
x + x³x²+x-2
x² + x³ + 3x² +X+2

Answer 1

To find the product (x² + 1)(x² + x - 2), use the distributive property to multiply each term and combine like terms. The resulting product is x⁴ + x³ + x - 2.

Step-by-step explanation:

To find the product (x² + 1)(x² + x - 2), we can use the distributive property. Multiply each term in the first polynomial by each term in the second polynomial and combine like terms.

1. Multiply x² by x², which equals x⁴.
2. Multiply x² by x, which equals x³.
3. Multiply x² by -2, which equals -2x².
4. Multiply 1 by x², which equals x².
5. Multiply 1 by x, which equals x.
6. Multiply 1 by -2, which equals -2.

Combining the like terms, the product is x⁴ + x³ - x² + x² + x - 2. Simplifying further, we get x⁴ + x³ + x - 2.

Learn more about Multiplying polynomials