Question

Multiply the given polynomials. Answers should be simplified and written in standard form.

Answer 1

The solution of the polynomial 4x²y(3x⁴+2y³) will be 12x⁶y + 8x²y⁴.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The given polynomial will be solved as below:-

P = 4x²y(3x⁴+2y³)

Multiply the terms in the bracket by the term 4x²y to get the solution of the polynomials.

P = 4x²y(3x⁴+2y³)

P = [ (4x²y ) x ( 3x⁴ ) ]+ [ ( 4x²y) x ( 2y³ ) ]

P = 12x⁶y + 8x²y⁴.

Therefore, the solution of the polynomial 4x²y(3x⁴+2y³) will be 12x⁶y + 8x²y⁴.

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