Topic: quartic list of topics
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17 items are filed under this topic.

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	The zeros of a fourth degree polynomial		2013-01-23
		From Dakota: My problem has multiple steps and I have done everything but the last one. 8The original problem is f(x)=x^4-5x^3+7x^2+3x-10 and I have to find the zeros of the equation. I used synthetic substitution like my teacher taught us to get the equation of x^3-3x^2+x+5=0 but now I don't know how to get the zeros of that equation, or solve it. Answered by Penny Nom.
	A quartic polynomial that is a perfect square		2012-02-05
		From archit: If P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then (a+b)=? Answered by Penny Nom.
	Identify each polynomial by its degree and number of terms		2011-01-10
		From betty: Write in standard form and identify each polynomial by its degree and number of terms. How do you do this? Answered by Penny Nom.
	Factoring cubics and quartics		2010-09-29
		From Tori: How do you factor these types of questions: * x^3 - 4x^2 - x + 4 *2x^3 - 3x^2 - 4x - 6 *x^4 - 15x^2 - 16 Answered by Robert Dawson.
	A quartic equation		2010-05-18
		From Austin: Z^4-10z^2=-9 Answered by Penny Nom.
	Fourth and fifth degree polynomials		2009-08-20
		From Evin: hello.i am a student . ax^4+bx^3+cx^2+dx+e=0 x=? i want to learn the solution or formula of equations of the fourth and fifth degree...PLEASE Answered by Robert Dawson.
	The sum of the roots of a quartic		2009-04-21
		From dave: This is a algebra problem that i am confused about: The sum of the roots of x^4-x^3+5x^2+4=0 is: i tried graphing it, but it shows that there are no roots, but the answer is 1. are they wrong? Answered by Penny Nom.
	The sum of the roots of a quartic		2009-01-03
		From peter: How do you find the roots of an equation without graphing? like, i have a problem that says what is the sum of the roots of x^4-x^3+5x^2+4=0. Answered by Harley Weston.
	Simplifying a quartic rational expression using long division		2007-06-14
		From Megan: x+2/12x^4+17x^3+0x^2+8x-40= Answered by Stephen La Rocque and Penny Nom.
	Designing a garage		2006-06-08
		From A builder: I'm currently designing a garage and came upon this interesting math problem. I've tried using various methods to solve it but have so far been unsuccessful. I've included a picture as its far easier to show you my question than explain it verbally. I realize it could be done by trial and error but i'm looking for a real solution. Answered by Stephen La Rocque and Penny Nom.
	A triangle problem		2006-05-18
		From Jim: Right angle triangle with a hypotenuse of 20 units. Square inside the triangle with sides of 4 units, the square shares two sides with both legs of the triangle, and the corner touches the hypotenuse limiting the triangles size. Answered by Penny Nom.
	Factoring quartics		2005-11-13
		From Kyle: How do I factor y4 + y2 +1?? I think the answer is (y2 + y + 1)(y2 - y + 1), but I'm not sure how to get that... Answered by Chris Fisher.
	Proof by induction?		2005-08-10
		From Peter: I am a lecturer and am having a problem with the following Proof by Induction. If (N x N x N x N) + (4 x N x N x N) + (3 x N x N) + (N) = -4000 Prove that N is even! Answered by Chris Fisher and Penny Nom.
	Two intersecting graphs		2003-04-23
		From Patty: a) graph the equation x2 - y - 4 = 0 x2 + y2 = 9 on the same set of coordinate axes. I did not have a problem with this. The problem is part (b) of the question ask: Find all solutions of the system in part (a) algebraically. Express answers in decimal form, accurate to two decimal places. Answered by Penny Nom.
	A quartic equation		2001-02-15
		From George: Let P(x) = x4 + ax3 + bx2 + cx + d. The graph of y = P(x) is symmetric with respect to the y-axis, has a relative max. at (0,1) and has an absolute min. at (q, -3) a) determine the values for a, b c, and d using these values, write an equation for P(x) b) find all possible values for q. Answered by Harley Weston.
	How wide is the well?		1999-11-24
		From Chris Baranski: There is a well and in the well there are 2 sticks one is 2 meters long the other is 3 meters long and they are opposite to each other. They are leaning against the wall of the well. The place where they touch is 1 meter of the bottom of the well. How wide is the well? Answered by Chris Fisher.
	A ladder problem		1999-04-22
		From Michael Blade: There is a cube box 3feet x 3feet x 3ft resting against a vertical wall on level ground. Resting against the outside corner of the box is a ladder 10 feet tall, this ladder is of course resting on the ground but also against the outside corner of the box and rests on the wall. The question- the ladder is divided into two unequal section bounded by the box to the ground and the box to the wall. what are those dimensions? Answered by Penny Nom.

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