Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.There are 2 terms in the product.There are 3 terms in the product.There are 4 terms in the product.The product is degree 1.The product is degree 2.The product is degree 4.
Answer
A
There are 2 terms in the product.
B
There are 3 terms in the product.
C
There are 4 terms in the product.
D
The product is degree 1.
E
The product is degree 2.
F
The product is degree 4.
Explanation
Multiply each term in the first factor by each term in the second: (–d + e)(4e + d) = –4de – d² + 4e² + de. Combine like terms to get –d² – 3de + 4e², which has 3 terms. Each term has total degree 2, so the product is degree 2.
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