Answer:
6x² + 15
6
Step-by-step explanation:
Let the number be x.
"the square of a number"
x²
"the product of 6 and the square of a number"
6x²
"the product of 6 and the square of a number plus 15"
6x² + 15
The coefficient is the number that multiplies the variable, so it is 6.
The expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the unknown number be represented by x. Therefore, the given statement can be broken down and written as shown below,
1. "the product of 6 and the square of a number"
6x²
2. "the product of 6 and the square of a number plus 15"
6x² + 15
Thus, the expression that can represent the given statement is 6x²+15.
Now, the coefficient of the expression is the number that is in multiplication with the unknown variable, therefore, x in this case. Thus, the value of the coefficient is 6.
Hence, the expression that can represent the given statement is 6x²+15, while the value of the coefficient is equal to 6.
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