Mr. Coover's class discovered the following pattern. If we multiply three consecutive integers and then add the middle number to the result, the answer is always the middle number cubed. 5 × 6 × 7 + 6 = 216 = 63 10 × 11 × 12 + 11 = 1331 = 113 15 × 16 × 17 + 16 = 4096 = 163 Now, write a third degree polynomial expression in factored form and standard form that represents this pattern. Show that the factored form is equivalent to the expression written in standard form. Substitute three different values for the variable to prove this pattern works for other numbers.

Q: What is the degree of the polynomial 9x4 + 2x³y4 + 4y5 + 6? (Enter an exact number.) Need Help? Read…

A:

Q: Describe the steps you would take to multiply a monomial by a polynomia

A:

Q: Summarize in your own words how you would find the GCF of the following polynomial. 12x y + 16x'y +…

A: In this question , we can find GCF (Greatest common factor ) of the given polynomial. Firstly ,…

Q: Write a polynomial that represents the area of the football field. b. Find the area of the football…

A:

Q: 7. How will you know if any number is a factor of the given polynomial? Explain by giving examples.

A: How to know that a number is factor of given polynomial.Explain using example.

Q: Question 31 of 50 Describe the polynomial: + y' + 5y° Select the correct response A. Binomial of…

A: 30) To solve the area above z = -1 Given area from z = 0 to z =  -1  is 0.3413 We know this normal…

Q: The polynomial 11.5g + 7.55l + 12.5c - 4016 can be used to estimate the weight of an elephant in…

A: To estimate the required quantity under the given conditions

Q: We begin the process of factoring a polynomial by first factoring out the assuming that there is one…

A: Consider the given statement. Let's explain it by an example. Example. 3x2+6x Now, find the factor…

Q: 1. The number of courses that Felix takes in this cycle is numerically equal to the number of prime…

A:

Q: The number of vinyl album sales(in millions) in a country x years after 2010 is given by the…

A: Given that the number of vinyl album sales in a country starting from 2010 given by the polynomial:…

Q: Gerardo is constructing a box. The height of the box is h feet. The width of the box is four feet…

A:

Q: divide X to the power of three - 2X to the power of 2 - 33X +90 by X -5 and express the polynomial…

A: We have to divide the polynomial X3-2X2-33X+90   by  X-5And also we have to express the polynomial…

Q: PLEASE WRITE IT ON A PAPER DONT TYPE THE ANSWER

A:

Q: What should be the first step in factoring this polynomial using grouping? 12 x 2 y − 6 x y + 16 x…

A:

Q: write a polynomial in standard form that has the given zeros: 1,-2+√7, -2-√7

A: Given problem:- write a polynomial in standard form that has the given zeros: 1,-2+√7, -2-√7

Q: Write the polynomial (that means to multiply the factors) that has the following zeros: 0, 2, and…

A: A detailed solution is given below.

Q: When asked to factor ax - by + ay - bx, a student wrote the expression as ax + ay - bx - by. Then…

A:

Q: 3. Consider the following polynomial expression: 4x* – 16x + 13x". Part A: Write the polynomial…

A: I guess the polynomial is 13x⁸+4x⁵-16x² and I am solving it accordingly. Thank you.

Q: Find the complete factored form of the expression x-4y - xr + 64y.

A: The equation is given as , x-4y-x3+64y3 Find the complete factored form.

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.