Factorising Binomials

Random Maths

100

What makes a prime number a prime number?

A prime number is a number greater than 1, and a number that is the product of 2 numbers. (if we ignore the negative number)

200

What is the Pythagorean theorem?

a² + b² = c²

300

What is 2+3!

8, the three is factorial. (1*2*3)

400

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?

There are 47 cards.

Factorizing with one parenthesis

100

54n + 45

9(6n + 5)

200

100h - 75

25(4h - 3)

300

49x³ + 77x³ + 84x³

7x³(7 + 11 + 12)

400

121hjq + 132qh

11qh(11j + 12)

Factorizing quadratics

100

s² + 6s + 9

(s + 3) (s + 3)

200

x² - 13x + 30

(x - 10) (x - 3)

300

s⁶ + 7x³ + 12

(s³ + 4) (s³ + 3)

400

x⁴ - 2tx² + t⁴

(x² - t²) (x² - t²)

Factorizing where parenthes is the common factor

100

(s + 5)² + 9(s+5)

(s + 5) ((s + 5) + 4)

200

5(p - 9)⁶ + 7(p - 9)

(p - 9) (5(p - 9)⁵ + 7)

300

(xy - gf)² + (gf - xy) (xy + 27)

= (xy - gf) ((xy - gf) + (xy + 27)

= (xy - gf) (2xy - gf + 27)

400

5(x + n)¹² + (n - x) (x + n)¹¹

(x + n)¹¹ (5(x + n) + (n - x)

(x + n)¹¹ (5x + 5n + n - x)

(x + n)¹¹ (4x + 6n)