## Factoring Polynomials | Algebra | Chegg Tutors

Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with. Factoring polynomials includes:

Finding the greatest common factor

Grouping like terms

Finding the difference of perfect squares: a2 – b2 = (a+b)(a-b)

Finding the sum or difference of two perfect cubes: x3+y3 = (x+y)(x2+-xy+y2); x3 – y3 = (x-y)(x2+xy+y2)

Factoring quadratic trinomials: ax2 + bx + c

Factoring polynomials with degree greater than 2: x4 + x2 – 20

Factoring rationals using GCD and LCM: 1/3×5 + 7/2×2 + 2x + 1 = 1/6(2×5+21×2+12x+6)

Factoring real numbers: (x2-2y2) = (x-√2y) and (x+√2y)

Factoring complex numbers: (x2-y2) = (x-iy) and (x+iy)

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About Becca R., Algebra tutor on Chegg Tutors:

Michigan State University, Class of 2013

Astrophysics major

Subjects tutored: Basic Science, Trigonometry, Basic Math, Algebra, GRE, Pre-Calculus, Pre-Algebra, Astronomy, Geometry, Astrophysics, and Physics

TEACHING EXPERIENCE

I love to teach! During my years at Michigan State, I had the honor of tutoring and teaching algebra at the collegiate level for 4 years. Additionally, I was a TA for several physics labs. I’ve spent my free time advocating for public outreach; whether it’s performing chemistry demos at the Museum of Science & Industry in Tampa or giving star tours at Badlands National Park, you can expect a thorough, enthusiastic lesson!

EXTRACURRICULAR INTERESTS

I enjoy hiking, swimming, singing, teaching, traveling, driving, and learning all about this great big universe!

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