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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18.
Factorising Polynomial Expressions
18.1
Common factors of polynomials
18.2
Factorising polynomials by grouping
18.3
Solving polynomials with the unknown "b" from x2+bx+cx^2 + bx + c
18.4
Solving polynomials with the unknown "c" from x2+bx+cx^2 + bx + c
18.5
Factorising polynomials: x2+bx+cx^2 + bx + c
18.6
Applications of polynomials: x2+bx+cx^2 + bx + c
18.7
Solving polynomials with the unknown "b" from ax2+bx+cax^2 + bx + c
18.8
Factorising polynomials: ax2+bx+cax^2 + bx + c
18.9
Factorising 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
18.10
Find the difference of squares: (a−b)(a+b)=(a2−b2)(a - b)(a + b) = (a^2 - b^2)
18.11
Evaluating polynomials
18.12
Using algebra tiles to factorise polynomials
18.13
Solving polynomial equations
18.14
Word problems of polynomials
NZ Year 10 Maths
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