Multiply the polynomials ((3x^{2} - 2x + 1)) and ((4x^{2} + 3x - 2))

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Step:1 ：First, distribute each term of the first polynomial to each term of the second polynomial. This gives: (3x^{2} * 4x^{2} + 3x^{2} * 3x  + 3x^{2} * -2 + -2x * 4x^{2} + -2x * 3x + -2x * -2 + 1* 4x^{2} + 1*3x + 1*-2)Step:2 ：Then, simplify each individual term to get: (12x^{4} + 9x^{3} - 6x^{2} - 8x^{3} - 6x^{2} + 4x + 4x^{2} + 3x - 2)Step:3 ：Finally, combine like terms to get: (12x^{4} + x^{3} - 8x^{2} + 7x - 2)

Answer

Step: 1 ：First, distribute each term of the first polynomial to each term of the second polynomial. This gives: (3x^{2} * 4x^{2} + 3x^{2} * 3x  + 3x^{2} * -2 + -2x * 4x^{2} + -2x * 3x + -2x * -2 + 1* 4x^{2} + 1*3x + 1*-2)Step: 2 ：Then, simplify each individual term to get: (12x^{4} + 9x^{3} - 6x^{2} - 8x^{3} - 6x^{2} + 4x + 4x^{2} + 3x - 2)Step: 3 ：Finally, combine like terms to get: (12x^{4} + x^{3} - 8x^{2} + 7x - 2)

Multiply the polynomials \((3x^{2} - 2x + 1)\) and \((4x^{2} + 3x - 2)\)

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