Factoring polynomials Quiz 1

Question 1

If $$x + 5$$ is a factor of $${x^3} - 2G{x^2} + 25$$ , then value of $$G$$ is

Accepted Answer

-2

Answer

54

Answer

69

Answer

2

Question 2

Find the remainder when you divide $${x^4} + {x^3} - 5{x^2} + x + 1$$ by $$x - 5$$ .

Accepted Answer

631

Answer

5

Answer

625

Answer

125

Question 3

Let $$p$$ and $$q$$ be integers, such that $${p^3} - {q^3} = 56$$ . If $$p - q = 2$$ and $$3pq = 24$$ , then what is $${p^2} + {q^2}$$ ?

Accepted Answer

20

Answer

10

Answer

44

Answer

50

Question 4

Find factors of $$ - 2{x^3} - 6{x^2} + 56x$$ .

Accepted Answer

$$ - 2x(x - 4)(x + 7)$$

Answer

$$(x - 4)(x + 7)$$

Answer

$$ - 2x(x - 7)(x + 8)$$

Answer

None of these

Question 5

Calculate the remainder, if $$2{x^3} - 3{x^2} + x + 2$$ is divided by $$x - 4$$ .

Accepted Answer

86

Answer

90

Answer

100

Answer

None of these