# Rational Root Theorem

## Quiz by Ma. Aylene C. Fabillar

Mathematics

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10 questions
• 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

45s
M10AL-Ii-1
• Q2

If the polynomial is in standard form, the term is arrange in ______________ powers of variable.

scrambled://DESCENDING

30s
M10AL-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)

30s
M10AL-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

45s
M10AL-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

60s
M10AL-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

45s
M10AL-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

30s
M10AL-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

30s
M10AL-Ii-1
• Q9

One of the roots of -5x2(x3 + 2x - 7) is 0. How many other roots are there?

4

5

3

4

30s
M10AL-Ii-1
• Q10

What are the possible rational roots of the polynomial 2x3+x2-5x+2

+1, +2, +$\frac\left\{1\right\}\left\{2\right\}$

$\pm1$$\pm2$,$\pm\frac\left\{1\right\}\left\{2\right\}$

$\pm1$$\pm2$,$\pm\frac\left\{3\right\}\left\{2\right\}$

$\pm1$$\pm2$

30s
M10AL-Ii-1

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