Question

Factorise : x2 - 16x + 28.​

Answer 1

Step-by-step explanation:

x2-16x+28=0

Two solutions were found :

x = 14

x = 2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-16x+28

The first term is, x2 its coefficient is 1 .

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

The last term, "the constant", is +28

Step-1 : Multiply the coefficient of the first term by the constant 1 • 28 = 28

Step-2 : Find two factors of 28 whose sum equals the coefficient of the middle term, which is -16 .

-28 + -1 = -29

-14 + -2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -2

x2 - 14x - 2x - 28

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

x • (x-14)

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

2 • (x-14)

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

(x-2) • (x-14)

thank you

Answer 2

Answer:

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{answer}}}}}}$

x²-16x+28

=>x²-14x-2x+28

=>x(x-14)-2(x-14)

=>(x-2)(x-14)

=> x=$\blue{2}$, x=$\pink{14}$

Step-by-step explanation:

$<marquee>$Hope it helps...