2.6 What is a polynomial function?

What is a polynomial function?

Lessons

    • a)
      f(x)=x4+7x38x2+5f\left( x \right) = {x^4} + 7{x^3} - 8{x^2} + 5
    • b)
      f(x)=34x225x3+2x39f\left( x \right) = 34{x^2} - 25{x^3} + 2x - 39
    • c)
      P(x)=7P\left( x \right) = 7
    • a)
      f(x)=5x3+x124f\left( x \right) = - 5{x^3} + {x^{\frac{1}{2}}} - 4
    • b)
      f(x)=2x27x13f\left( x \right) = 2{x^2} - 7{x^{ - 1}} - 3
    • c)
      f(x)=x4+9029x317x2+3897f\left( x \right) = {x^4} + 9029{x^3} - \sqrt {17} {x^2} + 3897
    • d)
      f(x)=5x33x2+2x4f\left( x \right) = \sqrt {5{x^3}} - 3{x^2} + 2x - 4
    • e)
      f(x)=5x3=3x2+2x4f\left( x \right) = 5{x^3} = \sqrt {3{x^2}} + 2x - 4
    • f)
      f(x)=3x33xf\left( x \right) = \sqrt 3 {x^3} - \sqrt { - 3} x
    • a)
      Finish the table below.

      Polynomial Function

      Degree

      Type

      P(x)=cP\left( x \right) = c

      P(x)=ax+bP\left( x \right) = ax + b, a0a \ne 0

      P(x)=4a+bx+cP\left( x \right) = 4a + bx + c, a0a \ne 0

      P(x)=ax3+bx2+cx+dP\left( x \right) = a{x^3} + b{x^2} + cx + d, a0a \ne 0

      P(x)=ax4+bx3+cx2+dx+eP\left( x \right) = a{x^4} + b{x^3} + c{x^2} + {d}x + {e}, a0a \ne 0

    • b)
      What are the names of polynomials of degrees of five through ten?
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What is a polynomial function?

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