Math, asked by sadiquenadeem11612, 3 months ago

5x²-27x+28. do it ............... ​

Answers

Answered by yokeshps2005
2

Answer:

STEP

1

:

Equation at the end of step 1

((0 - 5x2) + 27x) - 28

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

-5x2 + 27x - 28 = -1 • (5x2 - 27x + 28)

Trying to factor by splitting the middle term

3.2 Factoring 5x2 - 27x + 28

The first term is, 5x2 its coefficient is 5 .

The middle term is, -27x its coefficient is -27 .

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

Step-1 : Multiply the coefficient of the first term by the constant 5 • 28 = 140

Step-2 : Find two factors of 140 whose sum equals the coefficient of the middle term, which is -27 .

-140 + -1 = -141

-70 + -2 = -72

-35 + -4 = -39

-28 + -5 = -33

-20 + -7 = -27 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -7

5x2 - 20x - 7x - 28

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

5x • (x-4)

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

7 • (x-4)

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

(5x-7) • (x-4)

Which is the desired factorization

Final result :

(4 - x) • (5x - 7)

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