Math, asked by amishra4572, 6 hours ago

The zeroes of the polynomial are p(x) = x² – 10x – 75​

Answers

Answered by adityachoudhary23595
5

hope it helps .

u can find zeroes by splitting method

Attachments:
Answered by hukam0685
3

Step-by-step explanation:

Given:

p(x) =  {x}^{2}  - 10x - 75 \\

To find: Find the zeros of polynomial.

Solution:

Step 1: Put p(x)=0

Step 2: Split the middle term, so as to multiplication of first and last term be possible with these factors.

 {x}^{2}  - 15x + 5x - 75 = 0 \\

Step 3: Take common from first two and last two terms

x(x - 15) + 5(x - 15) = 0 \\  \\ (x - 15)(x + 5) = 0 \\

Step 4: Equate the factors to zero

x - 15 = 0 \\  \\ x = 15 \\  \\or \\  \\ x +5  = 0 \\  \\ x =  - 5 \\

Final answer:

Zeros of p(x) are 15 and -5.

Hope it helps you.

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