the table represents the multiplication of two binomials. what is the value of a?\n| | 3x | 5 |\n| -x | a |…

the table represents the multiplication of two binomials. what is the value of a?\n| | 3x | 5 |\n| -x | a | b |\n| 2 | c | 10 |\n-3x\n-3x²\n-5x\n-5x²

the table represents the multiplication of two binomials. what is the value of a?\n| | 3x | 5 |\n| -x | a | b |\n| 2 | c | 10 |\n-3x\n-3x²\n-5x\n-5x²

Answer

Explanation:

Step1: Recall binomial - multiplication rule

When multiplying two binomials ((a + b)(c + d)), we use the FOIL method. In the table, to find the value in a cell, we multiply the term in the corresponding row - header by the term in the corresponding column - header. To find (A), we multiply (-x) and (3x).

Step2: Perform the multiplication

According to the rule of exponents (a^m\times a^n=a^{m + n}) and the multiplication of coefficients, ((-x)\times(3x)=(-1\times3)\times(x\times x)=-3x^{2}).

Answer:

-3x²