Question

Factorise :x ² + 16x-80​

Answer 1

Answer:

18x+80 this is the right

Answer 2

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Factoring x²-16x-80

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The first term is, x² its coefficient is 1 .

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

The last term, "the constant", is -80

Step-1 : Multiply the coefficient of the first term by the constant 1 • -80 = -80

Step-2 : Find two factors of -80 whose sum equals the coefficient of the middle term, which is -16 .

-80 + 1 = -79

-40 + 2 = -38

-20 + 4 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and 4

x²- 20x + 4x - 80

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

x • (x-20)

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

4 • (x-20)

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

(x+4) • (x-20)

Which is the desired factorization

Equation at the end of step

1

:

(x + 4) • (x - 20) = 0

x = 20

x = -4