Question 1

Factor $4x^4\ -10x^2\ +\ 25$ completely.

Accepted Answer

(x-5)(x+5)(2x-1)(2x+1)

Answer

$\left(x\ +\ 5\right)^2\left(2x\ +\ 1\right)^2$

Answer

$\left(x\ +\ 5\right)^2\left(2x\ +\ 1\right)^2$

Answer

(2x-5)(x+5)(x-1)(2x+1)

Question 2

Factor x³- 125 completely.

Accepted Answer

(x - 5)(x²+ 5x + 25)

Answer

(x - 5)(x²+ 10x + 25)

Answer

(x - 5)(x²- 10x + 25)

Answer

(x - 5)(x²-5x + 25)

Question 3

Factor: $4x^4\ -10x^2\ +\ 25$

Accepted Answer

$\left(x\ +\ 5\right)^2\left(2x\ +\ 1\right)^2$

Answer

$\left(x\ +\ 5\right)^2\left(2x\ +\ 1\right)^2$

Answer

$\left(x\ +\ 5\right)^2\left(2x\ +\ 1\right)^2$

Answer

$\left(x\ +\ 5\right)^2\left(2x\ +\ 1\right)^2$

Question 4

It is a type of factoring in which you group together terms with common factors.

Accepted Answer

jumble://Factoring, by, grouping

Question 5

It is the reverse of multiplication. It is a way of finding what to multiply together to get a polynomial.

Accepted Answer

scrambled://FACTORING

Question 6

It is the greatest factor that is a factor of two or more numbers.

Accepted Answer

GCMF

Answer

LCD

Answer

Prime factors

Answer

PST

Question 7

In the expression x²- 16 = (x - 4) (x + 4), what do you call (x - 4) (x + 4)?

Accepted Answer

factors

Answer

products

Answer

divisors

Answer

quotients

Question 8

To become a factor of the polynomial, the remainder must be equal to ______.

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 9

The binomials x + 1 and x - 5 are factors of the polynomial x³- x²- kx -15. What is the other factors

Accepted Answer

x + 3

Answer

x - 1

Answer

x - 3

Answer

x + 5

Question 10

Factor fully: x⁶- 64.

Accepted Answer

(x²- 4) (x⁴+ 4x + 16)

Answer

(x - 2)² (x⁴+ 4x + 16)

Answer

(x - 2) (x + 2) (x⁴+ 4x + 16)

Answer

(x³- 4) (x⁴+ 4x + 16)

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