Radhika’s mother gave her some money to buy Papaya from the market at the rate of p(x) = x² – 12x – 220 per kg. (i) Find the factors of the given polynomial. (ii) if she purchase 5kg papaya, what money she have to pay?​

  • matematika

    Subject:

    Math
  • Author:

    jan
  • Created:

    1 year ago

Answers 2

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Answer:

Step-by-step explanation:

answer img

Given,

The cost of papaya are given by p(x) = x²-12x-220

To find,

The factors of the given polynomial and the price of 5 kg papaya.

Solution,

The factors of the given polynomial will be (x-10) (x+22) and the price of 5 kg papaya will be 5x²-60x-1100.

We can easily solve this problem by following the given steps.

According to the question,

The cost of papaya are given by p(x) = x²-12x-220

(i) We can factorise this polynomial by splitting the middle term such that their subtraction will result in 12x and their multiplication will be (-220×x²).

These two terms are 22x and -11x.

p(x) = x²-12x-220

p(x) = x²+22x-10x-220

Taking x common from the first two terms and -10 from the last two terms,

x(x+22)-10(x+22)

Taking (x+22) common,

(x-10) (x+22)

(ii) We are given that the rate of papaya per kg is p(x) = x²-12x-220.

1 kg = x²-12x-220

5 kg = 5(x²-12x-220)

5 kg = 5x²-60x-1100

Hence, the factors of the given polynomial is (x-10) (x+22) and the price of 5 kg papaya is 5x²-60x-1100.

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