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Polynomials and Linear Factors By: Daniel Yeiser
Example of a polynomial function Ax^n+bx^n-1+cx^n-2…………………… if a,b, andc are real numbers n is a positive integer.
More examples F(x)=1/2x^2+2x-3 F(x)=6x^4-3x^2+2x-5 F(x)=X^7-2 F(x)=X^12 The coefficients of the  terms have to be put into a descending order.
Not Polynomials F(x)=X^-2+5 F(x)=2x^1/2+3x-4 These are not polynomials because the exponents are not positive whole numbers
Zeros of polynomials y=x-4. the zero of this one is 4 Y=x+5. the zero of this one is -5 Y=x^4-14x^2+30x   this problem has 3 distinct zeros Y=x^4-2x^3. this problem has exactly two zeros
Vocab. Terms Degree- highest power of x in standard form Standard form- everything in the problem is multiplied together Factored form looks like-      f(x)=(x-r1) (x-r2)(x-r3)……….

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Polynomials and linear factors

  • 1. Polynomials and Linear Factors By: Daniel Yeiser
  • 2. Example of a polynomial function Ax^n+bx^n-1+cx^n-2…………………… if a,b, andc are real numbers n is a positive integer.
  • 3. More examples F(x)=1/2x^2+2x-3 F(x)=6x^4-3x^2+2x-5 F(x)=X^7-2 F(x)=X^12 The coefficients of the terms have to be put into a descending order.
  • 4. Not Polynomials F(x)=X^-2+5 F(x)=2x^1/2+3x-4 These are not polynomials because the exponents are not positive whole numbers
  • 5. Zeros of polynomials y=x-4. the zero of this one is 4 Y=x+5. the zero of this one is -5 Y=x^4-14x^2+30x this problem has 3 distinct zeros Y=x^4-2x^3. this problem has exactly two zeros
  • 6. Vocab. Terms Degree- highest power of x in standard form Standard form- everything in the problem is multiplied together Factored form looks like- f(x)=(x-r1) (x-r2)(x-r3)……….