Question

It is given that 1 is a zero of the polynomial 7x- x square - 6, find its zeroes.

Answer 1

Answer:

1 and 6

Step-by-step explanation:

Given that,

There is a quadratic polynomial such that,

7x - x^2 - 6

Also, one of it's zeroes is 1.

To find the other zero.

First of all Let's make it a quadratic equation.

For that, we need to equate this to 0.

Therefore, we will get,

=> 7x - x^2 - 6 = 0

=> -(-7x + x^2 + 6) = 0

=> -7x + x^2 + 6 = 0

=> x^2 - 7x + 6 = 0

Here, we have,

• a = 1
• b = -7
• c = 6

Let the required zero be m.

We know that,

Sum of roots = -b/a

Therefore, we will get,

=> m + 1 = -(-7/1)

=> m + 1 = -(-7)

=> m + 1 = 7

=> m = 7 -1

=> m = 6

Hence, the zereos are 1 and 6.