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8 May, 04:46

Simplify polynomial

3jsquared - jsquaredk - 6 - 4jsquaredk - 2jsquared + 4

sorry it didn't allow me to put the little two on top so i had to say squared

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Answers (1)
  1. 8 May, 05:02
    0
    j² - 5j²k - 2

    Step-by-step explanation:

    3j² - j²k - 6 - 4j²k - 2j² + 4

    To simplify this polynomial, we can collect like terms. A term is number (s) or variable (s) that are grouped together by multiplication. Like terms have the same variable and exponent.

    We have three groups of like terms:

    The j-squares (j²), the j-squared k (j²k) and the constants (no variable).

    Remember to include the negatives!

    The j-squares are: 3j²; - 2j²

    The j-squares k are: - j²k; - 4j²k

    The constants are: - 6; 4

    Simplify:

    3j² - j²k - 6 - 4j²k - 2j² + 4

    Rearrange the polynomial by like terms

    = ( - j²k - 4j²k) + (3j² - 2j²) + ( - 6 + 4)

    Add or subtract the like terms

    = (-5j²k) + (j²) + (-2)

    Remove brackets and rearrange so the negative is not first

    = j² + - 5j²k + - 2

    Simplify where two signs are together. Adding a negative is subtraction.

    = j² - 5j²k - 2 Simplified
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