Question

4x² - 17 x + 4
pls tell me ​

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(22x2 - 17x) + 4

STEP

2:Trying to factor by splitting the middle term Factoring 4x2-17x+4

The first term is, 4x2 its coefficient is 4 .

The middle term is, -17x its coefficient is -17 .

The last term, "the constant", is +4

Step-1 : Multiply the coefficient of the first term by the constant 4 • 4 = 16

Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -17 .

-16 + -1 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and -1

4x2 - 16x - 1x - 4

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

4x • (x-4)

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

1 • (x-4)

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

(4x-1) • (x-4)

Which is the desired factorization

Final result :

(x - 4) • (4x - 1)