corazon
Uploaded by
15 SLIDES
287 VUES
150LIKES

Mastering Polynomial Multiplication and Area Calculation

DESCRIPTION

This guide explores how to find the area of a square and the impact of increasing dimensions on area. The area of a square is determined by squaring the length of a side. By adding 3 units to the length and 1 unit to the width, we can compute the new area, either by summing the areas of individual rectangles or by using the rectangle area formula A = lw. Through examples, we will demonstrate how to apply the distributive property to multiply polynomials, reinforcing your understanding of area calculation and polynomial multiplication.

1 / 15

Télécharger la présentation

Mastering Polynomial Multiplication and Area Calculation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Multiplying Polynomials

  2. How do we find the area of a square?

  3. The correct formula is written above. Use it to find the area of the square below.

  4. As we have already said, to find the area, we square the length of a side.

  5. What happens to the area if we add 3 units to the length and 1 unit to the width?

  6. This definitely increases the area. How can we find the area of the new shape?

  7. One way would be to add the areas of the individual rectangles that we have formed.

  8. Another way of doing this would be using the formula for the area of a rectangle?

  9. A=lw A=(x+3)(x+1)

  10. How do we get from (x+3)(x+1) to ? We have already seen that 2(x+1) = 2x+2 We were able to do this multiplication by using the distributive property. We can also use the distributive property when we are multiplying polynomials by polynomials.

  11. We need to remember to distribute each term in the first set of parentheses through the second set of parentheses. Example: (X+3)(x+1)=(x)(x)+(x)(1)+(3)(x)+(3)((1)

  12. Let’s work a few of these. 1.) (x+2) (x+8) 2.) (x+5) (x-7) 3.) (2x+4) (2x-3)

  13. Check your answers. 1.) (x+2) (x+8) = X2+10x+16 2.) (x+5) (x-7) = X2-2x-35 3.) (2x+4) (2x-3) = 4x2+2x-12

  14. By learning to use the distributive property, you will be able to multiply any type of polynomials. Example:(x+1)(x2+2x+3) (x+1)(x2+2x+3) = X3+2x2+3x+x2+2x+3

More Related