Rational Root Theorem
zeros
third binomial
Write the Poly
Polymisc
100
List all the possible rational roots of 2x3+7x2-14x+5
±1, ±5, ±1/2, ±5/2
100
Find the zeros of
f(x) = x3- x2 - 2x
-1, 0, and 2
100
h (x) = 3x3 + 8x2 − 33x + 10 is the product of three binomials. The first two binomials are x − 2 and 3x - 1. What is the third binomial?
x + 5
100
Write the polynomial function in standard form with the least degree that has the zeros 4 and -7.
p(x) = x2 + 3x - 28
100
Write the cubic function shown in factored form.
p(x) = (x - 1)2(x + 4)
200
List all the possible
rational zeros of
h(x) = x3 - 5x2 + 2x + 12
±1, ±2, ±3, ±4, ±6, ±12
200
Find the zeros of
f(x) = x3+ 3x2 - 13x - 15
-5, -1, and 3
200
h (x) = 2x3 - 17x2 + 18x + 72 is the product of three binomials. The first two binomials are x − 4 and 2x + 3. What is the third binomial?
x - 6
200
Write the polynomial function in standard form with the least degree that has the zeros 1, 2, and 3.
p(x) = x3 - 6x2 + 11x - 6
200
How many roots does the equation
84 + 7x3 - 56x2 + 2x4 - 37x = 0 have?
4
300
List all the possible
rational zeros of
f(x) = 3x5- 5x2 + x + 6
±1, ±2, ±3, ±6, ±1/3, ±2/3
300
Find the zeros of
f(x) = 2x3 - x2 - 25x - 12
-3, -½, and 4
300
h (x) = 2x3 - 5x2 - 18x + 45 is the product of three binomials. The first two binomials are x + 3 and 2x - 5. What is the third binomial?
x - 3
300
Write the polynomial function in standard form with the least degree that has the zeros 6 and -√2.
p(x) = x3 - 6x2 - 2x + 12
300
Factor 5x2 − 35x − 300.
5(x - 12)(x + 5)
400
List all the possible
rational roots of
2x3 - 11x2 + 12x + 9 = 0
±1, ±3, ±9, ±1/2, ±3/2, ±9/2
400
Find the zeros of
f(x) = 6x3 + 13x2 + x - 2
-2, -½, and ⅓
400
h (x) = 3x3 - 14x2 - 47x - 14 is the product of three binomials. The first two binomials are x - 7 and 3x + 1. What is the third binomial?
x + 2
400
Write the polynomial function in standard form with the least degree that has the zeros -3 and √5.
p(x) = x3 + 3x2 - 5x - 15
400
Factor 8x3 - 24x2 + 16x - 48.
8(x2 + 2)(x - 3)
500
List all the possible
rational roots of
3x3 + 8x2 - 33x + 10 = 0
±1, ±2, ±5, ±10,
±1/3, ±2/3, ±5/3, ±10/3
500
Find the zeros of
f(x) = 6x3 - 37x2 + 4x + 12
-½, ⅔, and 6
500
h (x) = 4x3 - 33x2 + 45x + 54 is the product of three binomials. The first two binomials are x - 6 and 4x + 3. What is the third binomial?
x - 3
500
Write the polynomial function in standard form with the least degree that has the zeros 1 and 2 - i.
p(x) = x3 - 5x2 + 9x - 5
500
The only zeros of a 5th degree function are shown on the graph. Write the function in factored form.
p(x) = (x + 1)3(x - 2)2