Multiply and simplify the following polynomials: ((3x^2 - 2x + 1)(x^2 + x - 2))

Question

Accepted Answer

Step:1 ：First, distribute each term in the first polynomial to each term in the second polynomial. That is, (3x^2 * x^2 + 3x^2 * x + 3x^2 * -2 - 2x * x^2 - 2x * x - 2x * -2 + 1 * x^2 + 1 * x - 1 * 2)Step:2 ：Simplify to get (3x^4 + 3x^3 - 6x^2 - 2x^3 - 2x^2 + 4x + x^2 + x - 2)Step:3 ：Combine like terms to get (3x^4 + x^3 - 7x^2 + 5x - 2)

Answer

Step: 1 ：First, distribute each term in the first polynomial to each term in the second polynomial. That is, (3x^2 * x^2 + 3x^2 * x + 3x^2 * -2 - 2x * x^2 - 2x * x - 2x * -2 + 1 * x^2 + 1 * x - 1 * 2)Step: 2 ：Simplify to get (3x^4 + 3x^3 - 6x^2 - 2x^3 - 2x^2 + 4x + x^2 + x - 2)Step: 3 ：Combine like terms to get (3x^4 + x^3 - 7x^2 + 5x - 2)

Multiply and simplify the following polynomials: \((3x^2 - 2x + 1)(x^2 + x - 2)\)

Answer

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