Mastering Polynomial Multiplication Techniques

This video tutorial covers multiplying polynomials through three examples. It begins with multiplying a monomial by a polynomial using the box and distribution methods. Next, it demonstrates multiplying a binomial by another binomial, again using both methods. Finally, it explains multiplying a binomial by a polynomial, highlighting the importance of combining like terms and ensuring the final expression is in standard form. The video emphasizes understanding both the box and distribution methods for solving polynomial multiplication problems.

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

• 9x squared

• 6x

• 3x squared

• 3x to the third power

Using the box method, what is the result of 3x times 4x?

• 12x

• 15x

• 12x squared

• 7x squared

When using the box method for 3x(x squared + 4x - 5), what is the result of 3x times -5?

• -15x

• -15

• 15x

• -5x

In the distribution method for 2x + 5 times 3x - 4, what is the product of 2x times -4?

• 8

• -8

• 8x

• -8x

What is the coefficient of x squared when 2x + 5 is multiplied by 3x - 4 using the distribution method?

• 7

• 15

• 6

• -8

What is the final result of 2x plus 5 times 3x minus 4 using the box method?

• 6x squared + 7x - 20

• 6x squared + 5x - 20

• 5x squared + 7x - 20

• 6x squared + 7x + 20

In the double distribution method for x - 3 times 2x squared - 9x - 8, what does x times -9x equal?

• -27x

• 9x squared

• -9x squared

• -18x

What is the result of -3 times -8 in the context of distributing x - 3 across 2x squared - 9x - 8?

• -24

• 24

• -11

• 11

What correction was made in the calculation of x - 3 times 2x squared - 9x - 8?

• From -15x squared to -25x squared

• From -25x squared to -15x squared

• From 19x to 27x

• From 24 to 19

What is the result of multiplying x minus 3 by 2x squared minus 9x minus 8 using the box method?

• 2x cubed - 25x squared + 27x + 24

• 2x cubed - 25x squared + 19x + 24

• x cubed - 25x squared + 19x + 24

• 2x cubed - 15x squared + 19x + 24