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 polynomial Expressions
13.1
Common factors of polynomials
13.2
Factoring polynomials by grouping
13.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
13.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
13.5
Factoring polynomials: x2+bx+cx^2 + bx + c
13.6
Applications of polynomials: x2+bx+cx^2 + bx + c
13.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
13.8
Factoring polynomials: ax2+bx+cax^2 + bx + c
13.9
Factoring perfect square trinomials: (a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2 or (a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
13.10
Find the difference of squares: (a - b)(a + b) = a2−b2a^2 - b^2
13.11
Evaluating polynomials
13.12
Using algebra tiles to factor polynomials
13.13
Solving polynomial equations
13.14
Word problems of polynomials
Basic Algebra
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