Question

how to find the factors of 4a^2 - 16a + 16​

Answer 1

$4a {}^{2} - 8a - 8a + 16$

4a(a-2) -8(a-2)

【4a-8】【a-2】

【4a = 8】【a=2】

【a=2】【a=2】

So,

a = 2. ANSWER!!

Answer 2

4a2-16a=-15

Two solutions were found :

a = 3/2 = 1.500

a = 5/2 = 2.500

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a^2-16*a-(-15)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22a2 - 16a) - -15 = 0

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4a2-16a+15

The first term is, 4a2 its coefficient is 4 .

The middle term is, -16a its coefficient is -16 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 4 • 15 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -16 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17

-10 + -6 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and -6

4a2 - 10a - 6a - 15

Step-4 : Add up the first 2 terms, pulling out like factors :

2a • (2a-5)

Add up the last 2 terms, pulling out common factors :

3 • (2a-5)

Step-5 : Add up the four terms of step 4 :

(2a-3) • (2a-5)

Mark it as a brainliest