2 Answers

Tommaso Bertoni · Answer 1 · 2022-01-21T02:42:27+0000

Answer:

B

Explanation:

Objective: Advanced Algebra Thinking with Polynomials.

Convert the diagram into a polynomial using the Legend.

Then add the fourth polynomial to get 6x.

The first polynomial is

4x - 1

The next is

$- 2x {}^(2) + 2x - 1$

The third is

$- {x}^(2) - x + 4$

Add all the expressions.

$- 3 {x}^(2) + 5x + 2$

Set this equations equal 6x, let y represent the 4th polynomial.

$- 3 {x}^(2) + 5x + 2 + y = 6x$

$- 3 {x}^(2) + 2 + y = x$

$- 3 {x}^(2) +y = x - 2$

$y = 3 {x}^(2) + x - 2$

Oluwasegun Wahaab · Answer 2 · 2022-01-23T09:45:26+0000

Polynomial 1 : x²-x²+4x -2+1 = 4x -1

Polynomial 2 : 3x-x-2x²-2+1 = -2x²+2x-1

Polynomial 3 : 4 -2x+x-x²+x²-x² = -x²-x+4

According to the question,

Polynomial 1+Polynomial2+Polynomial3 + Polynomial4 = 6x

=> 4x -1+ (-2x²+2x-1) +(-x²-x+4) + Polynomial4= 6x

=> -3x²-x+2+Polynomial4= 0

=> 3x²+x -2= Polynomial4

OPTION B