Ricardo is factoring the polynomial, which has four terms. 5x3 20x2 2x 8 5x2(x 4) 2(x 4) Which is the completely factored form of his polynomial? 5x2(x 4) 7x2 (x 4) (7x2 2) (x 4) (5x2 2) (x 4).

Respuesta :

The factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

Polynomial

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

5x³ + 20x³ + 2x +8 is a polynomial.

To find

The factor of the polynomial.

How to find the factor of the polynomial?

5x³ + 20x³ + 2x +8 is a polynomial.

Take common, we get

5x²(x + 4) + 2(x + 4)

(5x² + 2) (x + 4)

[(x√5)² - (i√2)](x + 4)

(√5x - i√2)(√5x + i√2)(x + 4)

Thus, the factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

> Option D, or (5x2 + 2) (x + 4), is the correct choice.

Step-by-step explanation:

> This is the only correct answer choice for this equation.