Question

For polynomial P of x square + 5 x + 4 here sum of zeros of p of x is greater than the product of zeros say true or false​

Answer 1

Answer:

false is the answer

Step-by-step explanation:

I hope it helps

Answer 2

Given,

p(x) = x²+5x+4

To find,

Whether the sum of zeroes of p(x) is greater than their product.

Solution,

The sum of the zeroes of p(x) is not greater than their product.

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

According to the question,

p(x) = x²+5x+4

Factorising the given polynomial by splitting the middle term such that their product is (4×x²) and their sum is 5x.

p(x) = x²+4x+x+4

Taking out x common from the first two terms and 1 from the last two terms,

p(x) = x(x+4)+1(x+4)

Taking (x+4) common,

p(x) = (x+4) (x+1)

(x+4) = 0, (x+1) = 0

x = -4 and -1

Sum of the zeroes = -4 +(-1)

Sum = -5

Product of the zeroes = (-4)×(-1)

Product = 4

So, sum of the zeroes(-5) is not greater than their product(4).

Hence, the sum of the zeroes of p(x) is not greater than their product.