Question

36. Factorise the following. (i) x2 + 15x + 26 (ii) x2 + 9x + 20 (iii) y2 + 18x + 65 (iv) p2 + 14p + 13
(v) y2 + 4y – 21 (vi) y2 – 2y – 15 (vii) 18 + 11x + x2 (viii) x2 – 10x + 21 (ix) x2 = 17x + 60 (x) x2 + 4x – 77 (xi) y2 + 7y + 12 (xii) p2 – 13p – 30 (xiii) p2 – 16p – 80

Answer 1

Step-by-step explanation:

All the above are with the same means it to split the middle term

remaining you can do by yourself

Answer 2

Step-by-step explanation:

$Answer -$

1) x² + 15x + 26

x² + 2x + 13x + 26

x(x+2) + 13(x+2)

(x+13)(x+2)

2) x² + 9x + 20

x² + 4x + 5x + 20

x(x+4) + 5(x+4)

(x+5)(x+4)

3) x² + 18x + 65

x² + 5x + 13x + 65

x(x+5) + 13(x+5)

(x+13)(x+5)

4) p² + 14p + 13

p² + p + 13p + 13

p(p+1) + 13(p+1)

(p+13)(p+1)

5) y² + 4y - 21

y² - 3y + 7y - 21

y(y-3) + 7(y-3)

(y+7)(y-3)

6) y² - 2y - 15

y² + 3y - 5y - 15

y(y+3) - 5(y+3)

(y-5)(y+3)

7) x² + 11x + 18

x² + 2x + 9x + 18

x(x+2) + 9(x+2)

(x+9)(x+2)

8) x² - 10x + 21

x² - 3x - 7x + 21

x(x-3) - 7(x-3)

(x-7)(x-3)

9) x² = 17x + 60

x² - 17x - 60

x² + 3x - 20x - 60

x(x+3) - 20(x+3)

(x-20)(x+3)

10) x² + 4x - 77

x² - 7x + 11x -77

x(x-7) + 11(x-7)

(x+11)(x-7)

11) y² + 7y + 12

y² + 3y + 4y + 12

y(y+3) + 4(y+3)

(y+4)(y+3)

12) p² - 13p - 30

p² + 2p - 15p - 30

p(p+2) - 15(p+2)

(p-15)(p+2)

13) p² - 16p - 80

p² - 4p + 20p - 80

p(p-4) + 20(p-4)

(p+20)(p-4)