Question

Factor completely and then place the factors in the proper location on the grid. 4a 2 - 8a - 5

Answer 1

(2a - 5)(2a + 1)
Again proper order?

Answer 2

Answer: $(2a-5)(2a-1)$

Step-by-step explanation:

Given quadratic polynomial: $4a^2-8a-5$

To factorize the given quadratic polynomial we use the "splitting of middle term" method that is the x term which is the sum of two factors and product equal to last term.

The product of first and last term =$4a^2\times(-5)=-20a^2$

The middle term of the given polynomial can be written as

$-10a+2a=-8a$, where -10a and 2a are the factors of $-20a^2$.

Now, $4a^2-8a-5\\=4a^2-10a+2a-5\\2a(2a-5)+1(2a-5)\\(2a-5)(2a-1)$

Hence, $4a^2-8a-5=(2a-5)(2a-1)$