Question

what must be subtracted.
④ 2x²-3x+4 to get x²+2x-1​

Answer 1

Answer:

Let the polynomial to be subtracted be p(x)

∴x

4

+2x

2

−3x+7−p(x)=x

3

+x

2

+x−1

∴x

4

−x

3

+2x

2

−x

2

−3x−x+7+1=p(x)

∴p(x)=x

4

−x

3

+x

2

−4x+8

Answer 2

$\huge\mathfrak\red{❥ᴀɴsᴡᴇʀ}$

Let the polynomial to be subtracted be p(x)

⠀⠀⠀⠀⠀⠀⠀ => x⁴+ 2x²- 3x + 7 - p(x)

⠀⠀⠀⠀⠀⠀⠀=> x ³ + x²+ x-1

⠀⠀⠀⠀⠀=>⠀x⁴-x³ + 2x² -3x - x + 7 + 1 =p(x)

⠀⠀⠀⠀⠀⠀=> p(x) =x⁴ - x³ +x² -4x +8