Multiplying and Combining Polynomials

The video tutorial explains how to multiply two trinomials by distributing each term of the first polynomial into the second. It covers the step-by-step process of distributing 3x squared, negative 4x, and 5 into the second trinomial, resulting in nine products. The tutorial then demonstrates how to combine like terms to simplify the expression, resulting in the final product of the two trinomials.

What is the first step in multiplying two trinomials?

• Subtract the second polynomial from the first.

• Distribute each term of the first polynomial into the second.

• Add the coefficients of like terms.

• Divide the first polynomial by the second.

What is the result of multiplying 3x squared by 4x squared?

• 12x to the third

• 7x to the fourth

• 12x to the fourth

• 21x to the fourth

What is the product of 3x squared and negative 7x?

• 21x cubed

• Negative 21x cubed

• Negative 7x cubed

• 7x cubed

What is the result of multiplying negative 4x by 4x squared?

• 16x cubed

• Negative 16x cubed

• 8x cubed

• Negative 8x cubed

What is the product of negative 4x and negative 7x?

• Negative 28x squared

• 35x squared

• 28x squared

• Negative 35x squared

What is the result of multiplying 5 by 4x squared?

• Negative 5x squared

• 20x squared

• Negative 20x squared

• 5x squared

What is the product of 5 and negative 7x?

• 35x

• Negative 7x

• Negative 35x

• 7x

How do you combine the terms -21x cubed and -16x cubed?

• 5x cubed

• Negative 5x cubed

• 37x cubed

• Negative 37x cubed

What is the sum of 6x squared, 28x squared, and 20x squared?

• 54x squared

• 34x squared

• 74x squared

• 44x squared

What is the final product of the two trinomials?

• 12x to the fourth minus 37x cubed plus 54x squared minus 43x plus 10

• 12x to the fourth plus 37x cubed minus 54x squared plus 43x minus 10

• 12x to the fourth minus 37x cubed minus 54x squared minus 43x plus 10

• 12x to the fourth plus 37x cubed plus 54x squared plus 43x plus 10