Find the quotient. (2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)

Mathematics

2 answers:

Ann [662]2 years ago

4 0

2x^2 - 3x^2 + 4x + 19

Do you need the working? I included it just in case, I apologize in advance for the messy handwriting ^-^’

stealth61 [152]2 years ago

3 0

Answer:

The answer is b.) 2x^3+x^2-4x+3+14/x-2

Step-by-step explanation:

just answered it

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Step-by-step explanation:

$(x+y)(x-y)(x^2+y^2)(x^4+y^4)\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\qquad(*)\\\\=\underbrace{(x+y)(x-y)}_{(*)}(x^2+y^2)(x^4+y^4)\\\\=\underbrace{(x^2-y^2)(x^2+y^2)}_{(*)}(x^4+y^4)\\\\=\left((x^2)^2-(y^2)^2\right)(x^4+y^4)\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\underbrace{(x^4-y^4)(x^4+y^4)}_{(*)}\\\\=\left(x^4\right)^2-\left(y^4\right)^2=x^8-y^8$