Evaluating polynomials

Evaluating polynomials

The unknowns in the polynomials actually represent numbers. What do we do when we know these numbers and plug them into the polynomials? Let's practice here in this section.
Basic Concepts: Evaluating algebraic expressions
Related Concepts: Function notation, Function notation (Advanced), Operations with functions

Lessons

  • 1.
    Evaluating polynomials
    a)
    When 4x2−3 { 4x^2-3 } is evaluated for x=5, {x=5,} what is the result?

    b)
    Find the value of "−x4−3x3 {-x^4-3x^3} " when x=−3 {x=-3}

  • 2.
    Find the value of the following polynomials, given a=2a = 2 and b=5b = 5.
    a)
    12a3−3b\frac{1}{2}a^3-3b

    b)
    3ab+5b2−10a 3ab+5b^2-10a

    c)
    a2b2−3aba^2b^2-3ab

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13.
Factoring
13.1
Common factors of polynomials
13.2
Factor by taking out the greatest common factor
13.3
Factoring polynomials: ax2+bx+cax^2 + bx + c
13.4
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
13.5
Factoring difference of squares: x2−y2x^2 - y^2
13.6
Introduction to quadratic functions
13.7
Factoring polynomials by grouping
13.8
Factoring polynomials: x2+bx+cx^2 + bx + c
13.9
Evaluating polynomials
13.10
Word problems of polynomials
CLEP College Algebra
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