Algebra II – Chapter 6 Day #5
... I can use the Rational Root Theorem to solve equations. I can use the Conjugate Root Theorem to solve equations. I can use the Descartes’ Rule of Signs to determine the number of roots of a polynomial equation. I can use synthetic division to divide two polynomials. We want to first look at ...
... I can use the Rational Root Theorem to solve equations. I can use the Conjugate Root Theorem to solve equations. I can use the Descartes’ Rule of Signs to determine the number of roots of a polynomial equation. I can use synthetic division to divide two polynomials. We want to first look at ...
Chapter 5 Review
... cubic feet. The length of the safe is x + 4. What linear expressions with integer coefficients could represent the other dimensions of the safe? Assume that the height is greater than the width. ...
... cubic feet. The length of the safe is x + 4. What linear expressions with integer coefficients could represent the other dimensions of the safe? Assume that the height is greater than the width. ...
Recap: complex numbers
... standard form (that is, multiply the factors, don’t leave in factored form). b. Find a cubic polynomial with real coefficients having 4 and (3 – 2i) as zeros. Write your answer in standard form. Hint: Easiest if you multiply the factors from the non-real zeros first. 3. To answer these questions you ...
... standard form (that is, multiply the factors, don’t leave in factored form). b. Find a cubic polynomial with real coefficients having 4 and (3 – 2i) as zeros. Write your answer in standard form. Hint: Easiest if you multiply the factors from the non-real zeros first. 3. To answer these questions you ...
Day 1 Polynomial terms
... 3. An expression that consists of a single term that is either a constant, a variable, or a product of a constant and one or more variables. It is a polynomial with one term. ...
... 3. An expression that consists of a single term that is either a constant, a variable, or a product of a constant and one or more variables. It is a polynomial with one term. ...
8.8 Complex Numbers
... 8.8 Complex Numbers The complex number system enables us to take even roots of negative numbers by means of the imaginary unit i, which is equal to the square root of –1; that is i2 = -1 and i = 1 . By factoring –1 out of a negative expression, it becomes positive and an even root can be taken: -b ...
... 8.8 Complex Numbers The complex number system enables us to take even roots of negative numbers by means of the imaginary unit i, which is equal to the square root of –1; that is i2 = -1 and i = 1 . By factoring –1 out of a negative expression, it becomes positive and an even root can be taken: -b ...
Notes P.4
... Find the x-intercepts by using a graphing calculator. Complete the square, then solve. ...
... Find the x-intercepts by using a graphing calculator. Complete the square, then solve. ...
Name:_____________________________ Date:_____ Period:____ Dividing Polynomials
... When we want to divide a polynomial by a monomial, we can simply divide each part by that monomial. However, we cannot do the same thing when dividing a polynomial by another polynomial. For this we have to use long division. Long division involving polynomials is similar to the long division that y ...
... When we want to divide a polynomial by a monomial, we can simply divide each part by that monomial. However, we cannot do the same thing when dividing a polynomial by another polynomial. For this we have to use long division. Long division involving polynomials is similar to the long division that y ...
U3 L2 I1+ Homework - Mayfield City Schools
... 4, …} and gradually introduced other important sets of numbers as practical problems and mathematical problems required them. Create your own graphic organizer (different than the one in this packet) to show the relationships among the natural numbers, whole numbers, integers, rational numbers, irra ...
... 4, …} and gradually introduced other important sets of numbers as practical problems and mathematical problems required them. Create your own graphic organizer (different than the one in this packet) to show the relationships among the natural numbers, whole numbers, integers, rational numbers, irra ...
POLYNOMIALS 1. Polynomial Rings Let R be a commutative ring
... in Z[x]. Observe that 7x3 − 2x2 + x − 11 is in R[x] but not in Q[x]. If an xn + . . . + a1 x + a0 is a polynomial with coefficients ai , we adopt the convention that ai = 0 for all values of i not occurring in the expression an xn + . . . + a1 x + a0 . For example, when writing 7x3 + x − 11 as an xn ...
... in Z[x]. Observe that 7x3 − 2x2 + x − 11 is in R[x] but not in Q[x]. If an xn + . . . + a1 x + a0 is a polynomial with coefficients ai , we adopt the convention that ai = 0 for all values of i not occurring in the expression an xn + . . . + a1 x + a0 . For example, when writing 7x3 + x − 11 as an xn ...
