37 results.
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Question in Graphing and Polynomials
No description given
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Question in Graphing and Polynomials
Understanding the general facts about polynomials of degree n.
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Question in Graphing and Polynomials
No description given
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Question in Graphing and Polynomials
No description given
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Question in Graphing and Polynomials
No description given
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Question in MASH Bath: Question Bank
Finding linear combinations of two quadtratic expressions of the form ax2+bx+c.
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Question in MASH Bath: Question Bank
Solving a cubic equation of the form ax3+bx2+cx+d=0.
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Question in Nahid's workspace
Find the remainder when dividing two polynomials, by algebraic long division.
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Question in Content created by Newcastle University
Using a given list of four complex numbers, find by inspection the one that is a root of a given cubic real polynomial and hence find the other roots.
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Question in Bill's workspace
Other method. Find p,q such that ax+bcx+d=p+qcx+d. Find the derivative of ax+bcx+d.
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Question in Bill's workspace
Divide f(x)=x4+ax3+bx2+cx+d by g(x)=x2+p so that:
f(x)g(x)=q(x)+r(x)g(x) -
Question in Bill's workspace
Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.
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Question in Bill's workspace
Algebraic manipulation/simplification.
Simplify ax4+bx2+ca1x4+b1x2+c1 by cancelling a a common degree 2 factor.
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Question in Bill's workspace
Differentiate (ax+b)m(cx+d)n using the product rule. The answer will be of the form (ax+b)m−1(cx+d)n−1g(x) for a polynomial g(x). Find g(x).
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Question in Bill's workspace
Differentiate f(x)=xm(ax+b)n.
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Question in Content created by Newcastle University
Find ∫ax3+ax+b1+x2dx. Enter the constant of integration as C.
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Question in Content created by Newcastle University
Find ∫nx3+mx2+px+mx2+1dx
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Question in Content created by Newcastle University
Find ∫nx3+mx2+nx+p1+x2dx. Solution involves arctan.
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Question in Content created by Newcastle University
Find ∫ax3+ax+b1+x2dx. Enter the constant of integration as C.
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Question in Content created by Newcastle University
Find ∫ax3−ax+b1−x2dx. Input constant of integration as C.
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Question in Content created by Newcastle University
Find ∫nx3+mx2+nx+p1+x2dx. Solution involves arctan.
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Question in Content created by Newcastle University
Inputting algebraic expressions into Numbas.
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Question in Content created by Newcastle University
Differentiate f(x)=xm(ax+b)n.
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Question in Content created by Newcastle University
Other method. Find p,q such that ax+bcx+d=p+qcx+d. Find the derivative of ax+bcx+d.
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Question in Content created by Newcastle University
Dividing a cubic polynomial by a linear polynomial. Find quotient and remainder.
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Question in Content created by Newcastle University
f(X) and g(X) as polynomials over the rational numbers Q.
Find their greatest common divisor (GCD) and enter as a normalized polynomial.
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Question in Content created by Newcastle University
f(X) and g(X) are polynomials over Zn.
Find their greatest common divisor (GCD) and enter it as a monic polynomial.
Hence factorize f(X) into irreducible factors.
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Question in Transition to university
Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.
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Finding the full factorisation of a polynomial, using the Factor Theorem and long division Ready to useQuestion in Transition to university
Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.
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Question in Transition to university
Find the remainder when dividing two polynomials, by algebraic long division.