20x square+13x-72 factoreis
Answers
Correct Question : Factorise 20x² + 13x - 72
SOLUTION :
20x² + 13x - 72
As, 20 is coefficient of 20x², so multiply 20 with 72
20x² + 13x - 72
Split the middle terms
20x² - 32x + 45x - 72
4x(5x - 8) + 9(5x - 8)
(4x + 9) (5x - 8)
Zeroes are :
4x + 9 = 0
4x = -9
x = -9/4
5x - 8 = 0
5x = 8
x = 8/5
Answer:
(4x + 9) (5x - 8)
(4x + 9) (5x - 8) zeroes of the polynomial
(4x + 9) (5x - 8) zeroes of the polynomial ➡-9/4
(4x + 9) (5x - 8) zeroes of the polynomial ➡-9/4➡8/5
Step-by-step explanation:
given that,
the polynomial
20x² + 13x - 72
splitting the middle term
13x = 45x - 32x
also,
20x × (-72x) = 45x × (-32x)
-1440x² = -1440x²
so,
now,
20x² + 13x - 72
20x² - 32x + 45x - 72
4x(5x - 8) + 9(5x - 8)
(4x + 9) (5x - 8) = 0
4x + 9 = 0
4x = -9
x = -9/4
___________
5x - 8 = 0
5x = 8
x = 8/5
so,
✔20x² + 13x - 72
➡ (4x + 9) (5x - 8)
zeroes of the polynomial
zeroes of the polynomial ➡-9/4
zeroes of the polynomial ➡-9/4➡8/5