Question

Write two polynomials with a difference of 2x2 + x + 3

Answer 1

Answer:

The two polynomial CAN be $5x^4+5x^3+8x^2+x+6$ and $5x^4+5x^3+8x^2+2x+13$.

Step-by-step explanation:

Step 1: Simplify the expression:

$2*2 + x + 3$

$4+x+3$

$x+7$

Step 2: Think of a random polynomial:

$5x^4+5x^3+8x^2+x+6$

Step 3: Either add your "random polynomial" by $x+7$ or subtract it.

I want to add it so...

$5x^4+5x^3+8x^2+x+6+x+7$

= $5x^4+5x^3+8x^2+2x+13$

 Check by subtracting  $5x^4+5x^3+8x^2+x+6$ and $5x^4+5x^3+8x^2+2x+13$.

         $5x^4+5x^3+8x^2+2x+13$

   -      $5x^4+5x^3+8x^2+x+6$

        _____________________

         $0x^4 - 0x^3 -0x^2 +x +7$ or  $x+7$