We can multiple this binomial and this trinomial to find an equivalent expression.
(x + 4)(3x^2 + 2x)
3x^3 + 2x^2 + 12x^2 + 8x
Combine like terms.
3x^3 + 14x^2 + 8x is the equivalent polynomial.
3x³+14x²+8x is equivalent to (x+4)(3x²+2x). This can be obtained by using Distributive Property.
Given that, (x+4)(3x²+2x)
By using Distributive Property we can write,
(x+4)(3x²+2x) = x(3x²+2x) + 4(3x²+2x)
= 3x³+2x²+12x²+8x
=3x³+14x²+8x
This is the required polynomial.
Hence 3x³+14x²+8x is equivalent to (x+4)(3x²+2x).
Learn more about algebraic properties here:
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