5.4: Factoring Polynomials
5.4: Find Real-Number Solutions
5.5: Long Division/Synthetic Division
5.5: Factor/Find Zeroes
5.6: Rational Zeroes
100
Factor 3y^5-48y^3 completely.
3y^3(y+4)(y-4)
100
Find the real-number solutions, if any, for the following: 18s^3=50.
s=-5/3, 0, 5/3.
100
Use long division to solve the following: (x^2+x-17) / (x-4).
x+5+ 3/(x-4).
100
Factor the following: f(x)= x^3-10x^2+19x+30; x-6
(x-6)(x-5)(x+1)
100
List the potential zeroes for the following: 8x^4+4x^3-10x+15.
+-1, +-3, +-5, +-15, +-1/2, +-3/2, +-5/2, +-15/2, +-1/4, +-3/4, +-5/4, +-15/4, +-1/8, +-3/8, +-5/8, +-15/8.
200
Factor y^3-64 completely.
(y-4)(y^2+8y+16)
200
Find the real-number solutions, if any, for the following: m^3+6m^2-4m-24=0.
m=-6,-2,2.
200
Use the long division to solve the following: (5x^4-2x^3-7x^2-39) /(x^2+2x-4)
(5x^2-12x+37+ (38x+51)/ (x^2+2x-4).
200
Factor the following: f(x)= 2x^3-15x^2+34x-21; x-1.
(x-1)(2x-7)(x-3).
200
List the potential zeroes for the following:
+-1, +-2, +-4, +-7, +-14, +-28.
300
Factor 3m^3-m^2+9m-3 completely.
(3m-1)(m+1)(m-1)
300
Find the real-number solutions, if any, for the following: x^6-4x^4-9x^2+36.
m= -2, -1.73, 1.73, 2.
300
Finish the sentence on Remainder Theorem: If a polynomial f(x) is divided by (x-k), then the remainder is _____.
What is r=f(k)?
300
Find the zeroes of the following: x^3-2x^2-21x-18; -3
x=-1, 6
300
Find all the real zeroes of the following: f(x)=2x^4-9x^3+37x-30. (DO NOT SOLVE CLICK THE SHOW ANSWER BUTTON)
FREE POINTS
400
Factor 15x^5-72x^3-108x completely.
3x(5x^2+6)(x^2-6)
400
Find the real-number solutions, if any, in the following: 3x^4-27x^2+9x=x^3.
x=-3, 0, 1/3, 3.
400
Use synthetic division to solve the following: (2x^2-7x+10) / (x-5).
2x^2-7x+10+ 25/(x-5).
400
Finish the following statement on the Factor Theorem: A polynomial f(x) has a factor of _______ if and only if f(k)=0.
What is (x-k)?
400
Find all the real zeroes: h(x)= x^4+7x^3+26x^2+44x+24. (DO NOT SOLVE CLICK THE SHOW ANSWER BUTTON)
FREE POINTS
500
The special factoring pattern for the following: 8x^3+27.
What is a^3+b^3=(a+b)(a^2-ab+b^2)?
500
The area of a rectangle is 48. One side measures (x+4) and the other measures (3x+2). Use the following info to find the value(s) of x.
x=2.
500
Use synthetic division to solve the following: (x^4-5x^3-8x^2+13x-12) / (x-6).
x^4-5x^3-8x^2+13x-12 - (6)/(x-6).
500
Find the zeroes of the following: f(x)=2x^3-10x^2-71x-9.
What is -0.129 and -3.871
500
Fill in the blank on the following sentence for the Rational Zero Theorem: p/q= factor of constant terms/ factor of _____ a n
What is leading coefficients?
M
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n
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