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------------------------------------------------ How many terms does each expression have?

1. [tex]x^4 - 7x^3 + x - 7[/tex]

2. [tex]13x - 7x^2 + 9x^3[/tex]

Expressions in mathematics are divided into terms by plus and minus sign. The expressions x⁴ − 7x³ + x − 7 has 4 terms and 13x − 7x² + 9x³ has 3 terms.

Explanation:

The expressions are actually two separate algebraic expressions: x⁴ − 7x³ + x − 7 and 13x − 7x² + 9x³. In mathematics, terms in an expression are separated by plus or minus signs. So for the first expression, x⁴ − 7x³ + x − 7, it has 4 terms: x⁴, -7x³, x, and -7. Similarly, for the second expression, 13x − 7x² + 9x³, it also has 3 terms: 13x, -7x², and 9x³. Hence, the expressions x⁴ − 7x³ + x − 7 and 13x − 7x² + 9x³ have 4 terms and 3 terms respectively.

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