Question

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. An algebra tile configuration. Only the Product spot is shown. 6 tiles are in the Product spot in 4 columns with 2 rows. First row: 1 + x squared, 1 + x. Second row: 1 + x, 3 +. What is this function written in vertex form? f(x) = (x + 2)2 + 3 f(x) = (x2 + 2x)2 + 3 f(x) = (x + 1)2 + 2 f(x) = (x + 3)2 + 2x

Answer 1

Answer:

The factors of the polynomial are (2x + 3) (x + 1)

Step-by-step explanation:

Answer 2

The function written in vertex form; f(x) = (x + 3)^2 + 2x. Hence, correct option is D.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

x² + 2x + 3 = 0 is a quadratic equation.

An algebra tile configuration showing Only the Product spot is shown. 6 tiles are in the Product spot in 4 columns with 2 rows.

First row: 1 + x squared, 1 + x.

Second row: 1 + x, 3 +.

Then,

The factors of the polynomial are;

(2x + 3) (x + 1)

Thus, the function written in vertex form;

f(x) = (x + 3)^2 + 2x

Hence, correct option is D.

More about the quadratic equation link is given below;

brainly.com/question/2263981

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