Question

Complete each trinomial such that it can be rewritten in the form a(x+b)^2 or a(x-b)^2

Answer 1

The value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Vertex Form of a quadratic expression

Given the quadratic expressions

1.5x^2+6x+......

1.5(x^2 + 4x)

Using the completing the square method

The coefficient of x = 4

Half of the coefficient = 4/2 = 2

The square of the result = 2^2 = 4

The equation is expressed as:

f(x) = 1.5(x^2+4x+ 4) - 4

f(x) = 1.5(x+2)^2 - 4

Hence the value of the expression  in the form a(x+b)^2 is 1.5(x+2)^2 - 4

Learn more on completing the square method here: brainly.com/question/1596209