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  • Polynomials
  • Polynomials basics
  • Evaluating polynomials

Evaluating polynomials

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  • Question 1:
    1 pts
    		Evaluate x+2x + 2 for x=−3x = -3

    5

    -1

    1

    4

  • Question 2:
    1 pts
    		Evaluate −x−4-x - 4 at x=−4x = -4

    0

    8

    -8

    4

  • Question 3:
    1 pts
    		evaluate x17+4x12−5x2−x+1x^{17}+4x^{12}-5x^2-x+1 for x=0x = 0
    1
    11
    111
    1111
  • Question 4:
    2 pts
    		evaluate x53+x28+1x^{53}+x^{28}+1 at x=−1x =-1
    -1
    0
    1
    2
  • Question 5:
    2 pts
    		It is easier to evaluate a polynomial before like terms have been combined than after.
  • Question 6:
    2 pts
    		if p(x)=x2+x+2p(x) = x^2+x+2, than p(−2)=0p(-2) = 0
  • Question 7:
    2 pts
    		Chose correct answer using the graph of the polynomial p(x)p(x) (whose graph is shown in the figure).
    p(1)=2
    p(-2)>0
    p(3)>2
    p(-4)<0
  • Question 8:
    2 pts
    		evaluate a3b2−a2b+ab3+b+14a^3b^2-a^2b+ab^3+b+14 at a=0a=0, b=−24b=-24

    -10

    -11

    -12

    -13

  • Question 9:
    2 pts
    		If p(a,b)=a2b+abp(a,b) = a^2b + ab than f(−1,−1)=0f(-1,-1)=0
  • Question 10:
    3 pts
    		evaluate a2b−b2aa^2b-b^2a at a=121a=121, b=121b=121

    121

    11

    0

    -121

  • Question 11:
    3 pts
    		If p(a,b)=−2a3b+2p(a,b)=-2a^3b+2 than p(−1,x)=p(-1,x) =
    p(−1,x)=12p(-1,x)=12
    p(−1,x)=2b+2p(-1,x)=2b+2
    p(−1,x)=2x+2p(-1,x)= 2x+2
    p(−1,x)=2x3+2p(-1,x)=2x^3+2
  • Question 12:
    3 pts
    		if p(a3,b)=ab−bp(a^3,b) = ab-b than
    p(8,1)=1p(8,1)=1
    p(8,1)=2p(8,1)=2
    p(8,1)=3p(8,1)=3
    p(8,1)=4p(8,1)=4
  • Question 13:
    3 pts
    		If p(x)=(x+1)(3−x)(x−45)2p(x)=(x+1)(3-x)(x-45)^2 than p(−31)<0p(-31)<0

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations