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1. Simplify and write in standard form. Then, classify the polynomial by degree and number of terms. (5x^3 + 3x^2 - 7x + 10) -...Asked by Potato
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)
(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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Answered by
oobleck
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.
(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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