Question

37. Write the numerical coefficient of 3axy.38. Write the number of terms in a trinomial.39. Write xxxyy using exponents.40. Write six less than x as and algebraic expression.41. Write the factors of 3xy

Answer 1

Solution

37. The numerical coefficient of 3axy. The numerical coefficient is simply the number that multiplies the variables. In this case that is 3.

Answer: 3

38. The number of terms in a trinomial

Answer: There are 3 terms in a trinomial

39. Write xxxyy using exponents.

$\begin{gathered} \text{xxx}=x\times x\times x=x^3 \\ yy=y\times y=y^2 \\ \\ \therefore\text{xxxyy}=x^3y^2 \end{gathered}$

Answer: x³y²

40. Write 6 less than x.

Answer: 6 < x

41. Write the factors of 3xy.

The factors of 3xy are the numbers that when multiplied together, give us 3xy. Thus, the factors of 3xy are:

$\begin{gathered} 1\times3xy=3xy \\ 3\times xy=3xy \\ 3x\times y=3xy \\ 3y\times x=3xy \\ \\ \text{Thus, the factors are:} \\ 1,3,3x,3y,x,y,xy,3xy \end{gathered}$

Answer: 1, 3, 3x, 3y, x, y, xy, 3xy