Quiz about Factorising Polynomials

Question 1

$$\left(x+2\right)\cdot\left(x-1\right)$$ is

Accepted Answer

A factorized polynomial

Answer

It's not a polynomial

Answer

Is a notable identity

Question 2

Factorizing this polynomial $$x^2+x-2$$ is

Accepted Answer

writting it like this: $$\left(x+2\right)\cdot\left(x-1\right)$$

Answer

Finding the roots

Answer

Only finding the common factor

Question 3

The roots of this polynomial are

Accepted Answer

-5 and 1

Answer

-5

Answer

1

Question 4

Factor the polynomial $$2x^2 + 8x + 8$$ .

Accepted Answer

$$2(x + 2)^2$$

Answer

$$2(x - 2)^2$$

Answer

$$(2x + 4)(x + 2)$$

Answer

$$(x + 4)^2$$

Question 5

What are the factors of
25x² - 81?

Accepted Answer

(5x - 9)(5x + 9)

Answer

(5x - 9)(5x - 9)

Answer

(5x + 9)(5x + 9)

Answer

Cannot be factored

Question 6

Factor 4b⁵+4b³+16b²

Accepted Answer

4b²(b³+b+4)

Answer

4b³(b⁴+b²+4b)

Answer

4b³(b⁴+4b+5)

Answer

4(b⁵+b³+4b²)

Question 7

What is the first step when factoring polynomials?

Accepted Answer

Find the HCF

Answer

List all the terms

Answer

Make a triangle

Answer

Write the answer

Question 8

Factor Completely.
8x³ - 18x

Accepted Answer

2x(2x+3)(2x-3)

Answer

2x(4x2-9)

Answer

(4x²+3)(2x-3)

Answer

PRIME

Question 9

Factor completely 12x + 9

Accepted Answer

3(4x + 3)

Answer

x(12+9)

Answer

3(4x - 3)

Answer

not factorable

Question 10

6m2 + 16m

Accepted Answer

2m(3m + 8)

Answer

2(3m² + 8m)

Answer

2m(3m - 8m)

Answer

not factorable

Question 11

Factor
81m² - 1

Accepted Answer

(9m-1)(9m+1)

Answer

not factorable

Answer

(m-9)(m+9)

Answer

9m(9m-1)

Question 12

Which binomials are a difference of two squares?

Accepted Answer

III and IV

Answer

I only

Answer

III only

Answer

II, III, and IV

Question 13

Decide if (x-3) is a factor of 3x³+10x²-x-12

Accepted Answer

No, it is not a factor

Answer

Yes, it is a factor

Factorising Polynomials

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