Question

Radhika buys papaya at the rate of p(x) = x² – 12x – 220 per kg

(i) the factors of the given polynomial
(ii) if she purchase 5kg papaya, what money she have to pay?​

Answer 1

(i) The factors of the given polynomial is (x – 22) and (x + 10)

(ii) If she purchase 5kg papaya then she pays 110

Explanation:

Given;

• p(x) = x² – 12x – 220 per kg

To Find;

• The factors of the given polynomial
• if she purchase 5kg papaya, what money she have to pay?

(i)

Now,

x² – 12x – 220 = 0

Splitting the middle term

x² – 22x + 10x – 220 = 0

x(x – 22) + 10(x – 22) = 0

(x – 22) + (x + 10) = 0

x – 22 = 0 or x + 10= 0

x = 22 or x = -10

Here, (-10) is the negative value hence it is not possible

So, The value of x is 22

The factors of the given polynomial is (x – 22) and (x + 10)

(ii)

if she purchase 5kg papaya then,

we know the price of 1 kg papaya i.e., 22 per kg

So,

5 × 22 = 110

Thus, if she purchase 5kg papaya then she pays 110

-TheUnknownScientist 72