# 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?

4x

^{4}+ 8x^{3}- 39x^{2}=0x

^{3}+ 6x^{2}– 16x = 0x2 – 5x + 8 = 0

4x

^{3}– 9x^{2}- 3x = 045sM10AL-Ii-1 - Q5
The polynomial equation whose roots are {-1, - ½ and 3} is _______

x

^{3}- 6x^{2}– x – 3 = 02x

^{3}– 3x^{2}– 8x – 3 = 02x

^{3}+ 3x^{2}– 5x – 3 =02x

^{3}+ 3x^{2}+ x – 15 = 060sM10AL-Ii-1 - Q6
What are the roots of 4x

^{4}+ 25x^{3}+ 50x^{2}+ 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 x

^{4}- x^{3}-11x^{2}+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 -5x

^{2}(x^{3}+ 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 2x

^{3}+x^{2}-5x+2+1, +2, +$\backslash frac\{1\}\{2\}$

$\backslash pm1$, $\backslash pm2$,$\backslash pm\backslash frac\{1\}\{2\}$

$\backslash pm1$, $\backslash pm2$,$\backslash pm\backslash frac\{3\}\{2\}$

$\backslash pm1$, $\backslash pm2$

30sM10AL-Ii-1