Question

x2 - 8x - 65
x² – 3x - 54 by middle split term​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

1). (x - 13)(x + 5)

2). (x - 9)(x + 6)

Solution:

The given quadratic polynomial are :

1). x² - 8x - 65

2). x² - 3x - 54

We need to factorize the given quadratic polynomial by middle term splitting method.

Working rule :

★ Write the given quadratic polynomial in its standar form ( ie ; ax² + bx + c ).

★ Split the middle term of the quadratic polynomial in such a way that the product of its parts is equal to the product of the first term and the last term .

Thus,

1). x² - 8x - 65

=> x² - 8x - 65

=> x² - 13x + 5x - 65

=> x(x - 13) + 5(x - 65)

=> (x - 13)(x + 5)

Also,

2). x² - 3x - 54

=> x² - 3x - 54

=> x² - 9x + 6x - 54

=> x(x - 9) + 6(x - 9)

=> (x - 9)(x + 6)