# THEOREMS ON POLYNOMIALS

## Quiz by Alma Ventura

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- Q1
Is x+ 2 a factor of the polynomial x

^{4}- 3x^{3}+ 12x – 5 ?freetextm://No:Not

60sM10AL-Ig-1 - Q2
What is the remainder when 6x

^{4}- 2x^{3}+ 3x^{5}- 4x + 5 is divided by x + 1?12

14

-14

-12

60sM10AL-Ig-1 - Q3
Using the Remainder Theorem, if P(x)= x

^{3}+ 4x^{2}- 3x + 5 is divided by x + 2, what is the value of x?-2

-5

1

2

60sM10AL-Ig-1 - Q4
The remainder after dividing -10x

^{3}+5x + k by x + 1 is 4. Which of the following is the value of k?1

-1

-9

9

60sM10AL-Ig-1 - Q5
What is the leading coefficient of P(x) = 1 – 2x

^{2}+ 3x^{4}+ 4x^{6}?4

1

3

6

60sM10AL-Ig-1 - Q6
Which set has all the possible rational roots of x

^{3}– 2x + 6 = 0?±1, ±6

±1, ±2, ±3, ±4, ±5, ±6

±1, ±2, ±3

±1, ±2, ±3, ±6

60sM10AL-Ig-1 - Q7
Which of the following is NOT a root of x

^{3}+ 4x^{2}+ x – 6?1

-2

2

-3

60sM10AL-Ig-1 - Q8
A polynomial whose roots are {-2, 3, 5} is _______

(x-2)(x-3)(x-5)=0

(x+2)(x+3)(x+5)=0

(x-2)(x+3)(x+5)=0

(x+2)(x-3)(x-5) =0

60sM10AL-Ig-1 - Q9
Which of the following is a factor of 2x

^{3}- x^{2}- 21x + 18?x - 1

x - 3

x - 4

x - 2

60s - Q10
Given: P(x) = 4x

^{3}– x^{2}+ 5x – 3, what is P(-1) ?8

-13

-7

7

60sM10AL-Ig-1