Question

2

Answer 1

Answer:

$2x^2+13$

Step-by-step explanation:

Given

$(-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)$

Required

Simplify

Expand brackets

$(-5x^2-2x+4)+(8x^2-x-1)-(x^2-5x+2x-10)$

$(-5x^2-2x+4)+(8x^2-x-1)-(x^2-3x-10)$

Open all brackets

$-5x^2-2x+4+8x^2-x-1-x^2+3x+10$

Collect Like Terms

$-5x^2+8x^2-x^2-2x-x+3x+4-1+10$

$2x^2+13$

Hence, the polynomial simplifies to $2x^2+13$ and it has a degree of 2