Question

Find the some of zeroes and product of zero of quadratic polynomial x²+7+10

Answer 1

Answer:

Sum of zeros = -7

Product of zeros = 10

Step-by-step explanation:

We can solve this in the fast method or original method

1. Fast method

we know, sum of zeros = -b/a

Sum of zeros = -7/1 = -7

Product of zero = c/a = 10/1 = 10

2. Original method

x² + 7x + 10 = 0

By factoring the middle term

Sum = b = 7

Product = (a × c) = 10

After checking the factors we get = 2 and 5

x² + 2x + 5x + 10 = 0

x(x + 2) + 5(x + 2) = 0

(x + 2)(x + 5) = 0

So the zeros are x = -2 or x = -5

Now

their sum = -2 + -5 = -7

their Product = -2 × -5 = 10

Hope you understood it........All the best