Products Grade 10: binomial x trinomial

Summary

In this instructional video, the process of multiplying a binomial with a trinomial is demonstrated. The speaker explains how to distribute each term in the binomial across the terms in the trinomial, clearly illustrating the multiplication of terms such as x, -1, and their interactions with x squared, 3x, and 1. After performing the multiplications, like terms are combined to simplify the expression, ultimately leading to the final result. This step-by-step approach ensures a comprehensive understanding of polynomial multiplication.

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Q & A

What is being multiplied in this video?

A binomial (two-term expression) is being multiplied with a trinomial (three-term expression).

What is the first step in multiplying the binomial with the trinomial?

The first step is to multiply each term of the binomial by each term of the trinomial.

What is the result of multiplying 'x' by 'x squared'?

'x' multiplied by 'x squared' equals 'x to the power of three'.

How do you handle like terms after performing the multiplication?

You combine like terms by adding or subtracting their coefficients.

What do you get when you multiply '-1' by '3x'?

Multiplying '-1' by '3x' results in '-3x'.

What is the combined coefficient of the x squared terms after multiplication?

The combined coefficient of the x squared terms is '2', calculated from '3 - 1'.

What is the final expression after combining like terms?

The final expression is 'x^3 - x^2 - 5x + 2'.

How do you multiply 'x squared' by '2'?

Multiplying 'x squared' by '2' simply results in '2x squared'.

What happens when you multiply '-3x' by 'x'?

Multiplying '-3x' by 'x' gives '-3x squared'.

Why is it necessary to check for like terms in polynomial multiplication?

Checking for like terms ensures that the expression is simplified correctly by combining terms with the same degree.