Question

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$(5 {x}^{2} - 25x + 20) \div (x - 1)$
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Answer 1

Step-by-step explanation:

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

Step by step solution :

Step 1 :

Equation at the end of step 1 :

Step 2 :

5x2 - 25x + 20

Simplify ——————————————

x - 1

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

5x2 - 25x + 20 = 5 • (x2 - 5x + 4)

Trying to factor by splitting the middle term

3.2 Factoring x2 - 5x + 4

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

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

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

Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -5 .

-4 + -1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -1

x2 - 4x - 1x - 4

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

x • (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 :

(x-1) • (x-4)

Which is the desired factorization

Canceling Out :

3.3 Cancel out (x-1) which appears on both sides of the fraction line.

Final result :

5 • (x - 4)

Answer 2

HOPE IT will help u........