INTRODUCTION TO POLYNOMIAL FUNCTION

INTRODUCTION TO POLYNOMIAL FUNCTION

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POLYNOMIAL

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Multiple Select

Which of the following are considered polynomials?

• $$x^3+2x^2-3x+4$$

• $$\sqrt{x^2-1}$$

• $$a+b+c-d$$

• $$\frac{2x-1}{3x+4}$$

POLYNOMIAL

• Monomial

• Binomial

• Trinomial

• Multinomial

DEGREE OF POLYNOMIAL

The degree of a polynomial in one variable is determined by the highest exponent of the variable in the expression.

Leading coefficient is the numerical coefficient of the leading term.

Constant term is the term that do not contains variable.

DEGREE OF POLYNOMIAL

The degree of a polynomial in one variable is determined by the highest exponent of the variable in the expression.

Leading coefficient is the numerical coefficient of the leading term.

Constant term is the term that do not contains variable.

Multiple Select

Which of the following functions is written in standard form?

• $$y=x+7$$

• $$f\left(x\right)=6x-2+5x^2$$

• $$f\left(x\right)=x^3-3x^2+3x-1$$

• $$y=4-x^2$$

Multiple Choice

What is the standard form of  $$f\left(x\right)=6x-2+5x^2\$$  ?

• $$f\left(x\right)=-2+6x+5x^2$$  

• $$f\left(x\right)=6x\ +5x^2\ -\ 2$$  

• $$f\left(x\right)=5x^2\ +6x\ -2$$  

Fill in the Blanks

$Given\ :\ f\left(x\right)=5x^2\ +6x\ -\ 2$  

What is its leading coefficient?

Fill in the Blanks

$Given\ :\ f\left(x\right)=5x^2\ +6x\ -\ 2$  

What is its constant term?

Fill in the Blanks

$Given\ :\ f\left(x\right)=5x^2\ +6x\ -\ 2$  

What is its degree?

Fill in the Blanks

$Given\ :\ f\left(x\right)=3x^4-2x^2+9x\ +4$  

What is its degree?

Fill in the Blanks

$Given\ :\ f\left(x\right)=3x^4-2x^2+9x\ +4$  

What is its constant term?

Fill in the Blanks

$Given\ :\ f\left(x\right)=3x^4-2x^2+9x\ +4$  

What is its leading coefficient?