Question

X²+3x-2 divided by x⁴+3x³-7x²-27x-18
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Answer 1

Answer:

x²-9

Step-by-step explanation:

Question:

x⁴+3x³-7x²-27x-18 divide by x²+3x+2

Let's factorize the first polynominal:

• x⁴+3x³-7x²-27x-18=
• x²(x²+3x+2)-9x²-27x-18=
• x²(x²+3x+2)-(9x²+27x+18)=
• x²(x²+3x+2)-9(x²+3x+2)=
• (x²-9)(x²+3x+2)

As we see when the first polynominal has a factor of the second, so when divided by the second one we get x²-9 as quotient.