Algebra - Polynomials (addition and subtraction)

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  1. GIVEN THE POLYNOMIAL:

    Image Upload 1

    a. List the terms of the polynomial.

    b. Write the polynomial in descending order.

    c. State the degree of the polynomial and the  leading coefficient.
    • a. List the terms of the polynomial.
    • Image Upload 2

    • b. Write the polynomial in descending order.
    • Image Upload 3

    c. State the degree of the polynomial and the  leading coefficient.

    The degree is 5 and the leading coeffecient is 1.
  2. GIVEN THE POLYNOMIAL:

    Image Upload 4

    a. Identify the degree of each term.

    b. Identify the degree of the polynomial.
    • a. Identify the degree of each term.
    • Image Upload 5

    b. Identify the degree of the polynomial.

    6
  3. ADD:  Image Upload 6
    Image Upload 7
  4. ADD THE POLYNOMIALS:

    Image Upload 8 + Image Upload 9
    • COMBINE LIKE TERMS AND SOLVE:
    • Image Upload 10
  5. Image Upload 11
    Image Upload 12
  6. ADD THE POLYNOMIALS:

    Image Upload 13 + Image Upload 14
    • GROUP LIKE TERMS:
    • 6.1a2 + (-7.2a2) - 8.2c - 3c +4.7a2c + (-9a2c)

    = Image Upload 15
  7. Subtract the polynomials.

    Image Upload 16 - Image Upload 17
     
    • Change to addition: (.01c2  - .03cd +  .05d2) + (-.05c2) + (-.07cd) + .02d2
    • Combine like terms:
    • .01c2  + (-.05c2) - .03cd + (-.07cd) +  .05d2 + .02d2
    • SOLVE:
    • -.04c2 - .1cd + .07d2

  8. SUBTRACT:   Image Upload 18   FROM     Image Upload 19
    • RULE: SUBTRACT A FROM B
    •           = B - A

    Image Upload 20

    Distribute: Image Upload 21

    Regroup Terms: Image Upload 22

    Get common denominators:

    Image Upload 23

    Solve:

    Image Upload 24
  9. The perimeter of a triangle can be represented by the polynomial 19x - 3. Find an expression that represents the length of the missing side.

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Author
ID
267549
Card Set
Algebra - Polynomials (addition and subtraction)
Description
Polynomials (addition and subtraction)
Updated
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