What property of operations will be used to simplify the product of a binomial and trinomial? *

Distributive property.

Step-by-step explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Hence, the distributive property is used to simplify the product of a binomial and trinomial.

For example, let's find the product of (2x + 4)(5x² + 3x + 10)

First of all, we would distribute trinomial into each of the term in the binomial.

2x(5x² + 3x + 10) + 4(5x² + 3x + 10)

Distributing the monomial into the trinomial, we have;

2x(5x²) + 2x(3x) + 2(10) + 4(5x²) + 4x(3x) + 4(10)

Expanding the bracket, we have;

10x³ + 6x² + 10 + 20x² + 12x² + 40

Collecting like terms, we have;

10x³ + (6x² + 20x² + 12x²) + 10 + 40

10x³ + 38x² + 50

Therefore, (2x + 4)(5x² + 3x + 10) = 10x³ + 38x² + 50

A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).
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