Polynomials

9 flashcardsby Logan
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1
What is the first step in expanding brackets?
Multiply them out
2
What is the result of expanding 2x²(4x³ + 6x² + 3) + 3x(4x³ + 6x² + 3) + 6(4x³ + 6x² + 3)?
8x⁵ + 24x⁴ + 42x³ + 42x² + 9x + 18
3
What is the first step in simplifying algebraic fractions?
Look for common factors in the numerator and denominator
4
What should you do if there’s a fraction in the numerator or denominator?
Multiply the whole thing (top and bottom) by the same factor to eliminate it
5
How do you multiply algebraic fractions?
Multiply the numerators together, then multiply the denominators
6
What is a good practice before multiplying algebraic fractions?
Cancel any common factors before you multiply
7
How do you divide by an algebraic fraction?
Multiply by its reciprocal (1 / the original fraction)
8
What is the process to add and subtract fractions?
Find a common denominator
9
Why is it easier to deal with fractions in their simplest form?
It makes calculations easier and clearer
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