Question

x×x -5x-50 factorise​

Answer 1

Question:

To Factorise x² - 5x - 50

Answer:

(x-10)(x+5)

Step-by-step explanation:

    x² - 5x - 50

We have to find two numbers that when multiplied give -50 and when added gives -5 (From the term 5x).

We can see that the product is negative.

∴ 1 Number is negative and 1 number is positive

Also, the sum is negative, so we know that the greater number is negative.

We see that -10 + 5 = -5

              AND

       -10 × 5 = -50

∴ x² - 5x - 50 can be written as

  x² - 10x +5x - 50

= (x² - 10x) + (5x - 50)

{Taking x and 5 common from the first and last two terms}

= x(x - 10) + 5(x - 10)

{Taking (x - 10) common}

= (x - 10)(x + 5)

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