Question

Find the factor 4z^2 - 8z + 3

Answer 1

Answer:

Factoring 4z2-8z+3

The first term is, 4z2 its coefficient is 4 .

The middle term is, -8z its coefficient is -8 .

The last term, "the constant", is +3

Step-1 : Multiply the coefficient of the first term by the constant 4 • 3 = 12

Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is -8 .

-12 + -1 = -13

-6 + -2 = -8 That's it

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

4z2 - 6z - 2z - 3

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

2z • (2z-3)

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

1 • (2z-3)

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

(2z-1) • (2z-3)

Which is the desired factorization

Answer 2

Step-by-step explanation:

=> 4z² - 8z + 3

{ 3 is constant term and it's less than middle term (8). So we take z² cofficent mean 4 or contant term 3 and multiply both}

=> multiping 4 and 3,

4 × 3 = 12

=>Now, Factor the new number 12 that suitable on given equation.

=> 4z² - 8z + 3

=> 4z²- 6z -2z + 3

=> 2z ( 2z - 3) -1 (2z - 3)

(2z - 1) (2z - 3)

the value of z is,

(2z - 1) => 2z = 1 => z = 1/2

(2z - 3) => 2z = 3 => z = 3/2

Hence,

Z = 1/2 & 3/2

I hope it's help you!

.BB