IU 2 Polynomial Equations & Functions

Lesson 3 Homework - Long Division of Polynomials

Use the Factor Theorem.

Yes or No

1.   Is (x-2) a factor of f(x) = 2x^4 - 3x^3 + x^2 - 3x - 6?

 

2. is -3 a zero of g(x) = x^2 - x - 6?

 

 

Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of the first. x3+7x2 +7x-15 ; x+5 sx+5 a factor of x3 + 7x2 +7x-15? O Yes O No

Q1. Find a polynomial function of degree three with numbers 3, 5, -2 as zeros of the polynomial Q2. Consider the quadratic model h(t)16140t+50 for the height (in feet), h, of an object t seconds after the object has been projected straight up into the air. a) Find the maximum height attained by the object. Use the vertex formula. b) How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down Q3. Find the rational zeros of the function f(x)-x-6x +9x2+6x-10. Then, factor x) into linear factors. Q4. Find a polynomial function of lowest degree with real coefficients and the numbers 6, 3i as some of its zeros. Q5. Perform the long division of polynomials to find the quotient and remainder when dividing x*+3x' +3x +3x +2 by x+2 Q6. Use synthetic division to find the quotient and the remainder when dividing x -3x +10 by x -2

Synthetic Division polynomial P(x) = 2x^3 + x^2 - 13x + 6 zero/1/2