Polynomials

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Polynomials

Multiplication of polynomials

Multiplication of polynomials.
To multiply a polynomial by a polynomial, multiply each of the terms of one polynomial by each of the terms of the other polynomial and combine results.

Remember:

The laws of exponents
The rules of signs
The commutative and associative properties of multiplication.

Multiply (3x+2)(4x² - 2x + 10)
(3x+2)(4x² - 2x + 10)=12x³-6x²+30x+8x²-4x+20=12x³+2x²+26x+20

$$7x^4-2x^3-3x^2+x$\cdot$-x^2-4x+5$=$

Solution:

x⁶

x⁵

x⁴

x³

x²