Question

3. Factorise : -9x2 – 27x – 20​

Answer 1

Factorization means writing numbers in the form of product of their factors.

Question:

Factorise: $-9{x}^{2} - 27x - 20$

Solution:

To factorize p(x)

$p(x) = -9{x}^{2} - 27x - 20$

$p(x) = -9{x}^{2} - 15x - 12x - 20$

$p(x) = -3x(3x+ 5) - 4(3x +5)$

$p(x) = (3x+5)(-3x - 4)$

So the factors of $p(x) = -9{x}^{2} - 27x - 20$ are (3x+5)(-3x-4)

Answer 2

Answer:

x= -4/3

Or x= -5/3

Step-by-step explanation:

9x2+27x+20 sum=27

product=9×20=180

9x2+15x+12x+20=0

3x(3x+5) +4(3x+5)=0

(3x+4)(3x+5) =0

now to find zeroes, equate it to 0

3x+4=0

3x= -4

x= -4/3

3x= -5

x=-5/3

hope it's clear!!