Rational Root Theorem
Quiz by Ma. Aylene C. Fabillar
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- Q1
Group the following according to their roots.
sorting://P(x)= (x+2)(x+1)(x-4)|-2,-1,4:P(x)=x(x+3)(x-2)|0,-3,2
45sM10AL-Ii-1 - Q2
If the polynomial is in standard form, the term is arrange in ______________ powers of variable.
scrambled://DESCENDING
30sM10AL-Ii-1 - Q3
Which polynomial equation has 1, -2, and 3 as roots?
P(x) = (x – 1) (x + 2) (x – 3)
P(x)=(x + 1) (x – 2) (x + 3)
P(x) = (x + 1) (x + 2) (x + 3)
P(x)= (x - 1) (x - 2) (x - 3)
30sM10AL-Ii-1 - Q4
Which of the following polynomial equations has 2 as one of the roots?
4x4 + 8x3- 39x2 =0
x3 + 6x2 – 16x = 0
x2 – 5x + 8 = 0
4x3 – 9x2- 3x = 0
45sM10AL-Ii-1 - Q5
The polynomial equation whose roots are {-1, - ½ and 3} is _______
x3- 6x2 – x – 3 = 0
2x3 – 3x2 – 8x – 3 = 0
2x3 + 3x2 – 5x – 3 =0
2x3 + 3x2 + x – 15 = 0
60sM10AL-Ii-1 - Q6
What are the roots of 4x4 + 25x3 + 50x2 + 35x + 6 = 0?
1, 2, 3 and ¼
- 1, - 2, 3 and ¼
1, 2, - 3 and - ¼
- 1, - 2, -3 and -¼
45sM10AL-Ii-1 - Q7
If P(-2) =0 , which of the following statement is true about P(x)?
P(0) = -2
P(x) =0, has two negative roots
-2 is a root of P(x)
2 is a root of P(x) =2
30sM10AL-Ii-1 - Q8
How many real roots does x4 - x3 -11x2 +9x+18 =0 have?
at most 4
at most 1
at most 2
at most 3
30sM10AL-Ii-1 - Q9
One of the roots of -5x2(x3 + 2x - 7) is 0. How many other roots are there?
4
5
3
4
30sM10AL-Ii-1 - Q10
What are the possible rational roots of the polynomial 2x3+x2-5x+2
+1, +2, +
, ,
, ,
,
30sM10AL-Ii-1