Question

Middle term splitting of x square -11x-42

Answer 1

Hi,

Here is your answer

Given:

p(x)=x²-11x-42

To find:

To find the zeros by splitting the middle term

Solution:

x²-11x-42=0

x²-14x+3x-42=0

x(x-14)+3(x-14)=0

(x-14)(x+3)=0

Either

x-14=0

x=14

Or

x+3=0

x= -3

Hence the zeros of the polynomial are 14 and -3

Notes:

The zeros of a polynomial can be found out by three methods

• Factorization method
• Splitting the middle term
• Completing the square method

Hope this helps you.

Answer 2

Answer

(x-14) (x+3)

Step-by-step explanation:

x²-11x-42

x²-14x+3x-42

x(x-14) +3(x-14)

(x-14) (x+3)