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Simplify and write in standard form. Then, classify the polynomial by degree and number of terms.
(5x3 + 3x2  7x + 10)  (3x3  x2 + 4x  1)
Simplify and write in standard form. Then, classify the polynomial by degree and number of terms.
(5x3 + 3x2  7x + 10)  (3x3  x2 + 4x  1)

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Potato

  1. I'm assuming you meant
    (5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)
    so, first, get rid of the parentheses:
    5x^3 + 3x^2 - 7x + 10 - 3x^3 + x^2 - 4x + 1
    Now collect like powers:
    (5-3)x^3 + (3+1)x^2 + (-7-4)x + (10+1)
    2x^3 + 4x^2 - 11x + 11
    Since the powers are descending, that's standard form.
    degree is the highest power
    terms are separated by + or - signs, so just count them.

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    oobleck

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