Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]
Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The product result of the given expression is
[tex]-2x(x^2 - 3) = -2x^{1 + 2} + 6x = -2x^3 + 6x[/tex]
It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]
Thus,
The product of [tex]-2x(x^2 - 3)[/tex] is [tex]-2x^3 + 6x[/tex]
Learn more about product of polynomials here:
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