Algebra 2 Volume 1 1st Edition Unit 3 Polynomial, Functions, Expressions, And Equations
Page 232 Problem 1 Answer
A table is given with some statements written in one column. It is asked to write the terms for those statements in another column.
Factor is a number or expression that divides a product exactly.
For example, 3x divides 6x2 and gives the quotient 2x. So, 3x is the factor of 6x2.
A rational or irrational number is always a real number. For example, 1/2 is a rational number.
Here, 1/2=0.5. Thus, it is a real number.
A number, variable, product, or quotient in expression is called as term.
For example: in the expression, 3x+2, 3xand 2are the terms of the binomial 3x+2.
Parameters are the constants in a function or equation that may be changed. For example, in the equation,x=2t+1, t is the parameter.
A change in the size, position, or shape of a figure of graph is called as transformation.
Transformations are of four types mainly, Reflection, Translation, Stretch, Compression.A numerical factor in a term of an algebraic expression is known as coefficients.
For example, in the expression, 3×2+5, 3 is the coefficient of x2.
The table with complete statements is given below:
The table with review words is given by,
Page 232 Problem 2 Answer
It is given an incomplete statement, “A polynomial function of degree 3 is a ____.”
It is required to complete the statement.
The degree of a polynomial is the highest of the degrees of the polynomial’s monomials (individual terms) with non-zero coefficients.
The polynomial having degree 3 are cubic polynomial function. For example: 3×3+2×2+1is a cubic polynomial function.
A polynomial function of degree 3 is a cubic polynomial function.
The complete sentence is, A polynomial function of degree 3 is a cubic polynomial function.
Page 232 Problem 3 Answer
It is given an incomplete statement, “A ___________of a polynomial is a zero of the function associated with that polynomial.”
It is required to complete the statement. A factor of a polynomial is a zero of the function associated with that polynomial.
A factor of a polynomial is a zero of the function associated with that polynomial.