Question

Given the verbal expression, choose the correct algebraic expression:

The expression has three terms. The coefficient of the first term is seven and it has one factor that is raised to the fifth power. The second term has a coefficient of negative four and two other factors, one cubed and the other squared. The third term has a coefficient of six and no other factors.

a) 7x^5−4x^3y^2+6

b) 7x^5−4x^2y^3+6

c) 7x^3−4x^2y^2+6

d) 7x^5−4xy^2+6

Answer 1

The correct algebraic expression for the given verbal expression is a) 7x^5−4x^3y^2+6.

Step-by-step explanation:

The correct algebraic expression for the given verbal expression is a) 7x^5−4x^3y^2+6.

1. The first term has a coefficient of 7 and one factor is raised to the fifth power, which is represented as 7x^5.
2. The second term has a coefficient of -4 and two factors: one cubed, represented as -4x^3, and the other squared, represented as -4x^3y^2.
3. The third term has a coefficient of 6 and no other factors, so it is represented as 6.

Therefore, the correct algebraic expression is a) 7x^5−4x^3y^2+6.