Determine whether the following statements are true or false for the expression: 5𝑎2−7𝑎2𝑏𝑐+15𝑏−13.True FalseThe constant term in the expression is 13. The coefficient of the second term is 7. There are four terms in the expression. If 𝑎=2, 𝑏=−3 and 𝑐=1, the expression equates to 46. The highest exponent in the second term is 2.
Question
Determine whether the following statements are true or false for the expression: 5𝑎2−7𝑎2𝑏𝑐+15𝑏−13.True FalseThe constant term in the expression is 13. The coefficient of the second term is 7. There are four terms in the expression. If 𝑎=2, 𝑏=−3 and 𝑐=1, the expression equates to 46. The highest exponent in the second term is 2.
Solution
- False: The constant term in the expression is -13, not 13.
- True: The coefficient of the second term is indeed -7 (considering the negative sign).
- False: There are only three terms in the expression, not four.
- True: If 𝑎=2, 𝑏=−3 and 𝑐=1, the expression equates to 46. This can be calculated as follows: 5*(2)^2 - 7*(2)^2*(-3)1 + 15(-3) - 13 = 20 + 42 - 45 - 13 = 46.
- True: The highest exponent in the second term is indeed 2 (from 𝑎^2).
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