Question

If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?

Answer 1

Step-by-step explanation:

zeroes are 7 and -3 .......

Answer 2

Answer:

x = -3 , 7

Note:

★ The possible values of the variable for which the polynomial becomes zero are called its zeros .

★ If x - a is a factor of the polynomial p(x) , then x = a is a zero of the polynomial p(x) and hence p(a) = 0 .

★ A quadratic polynomial can have atmost two zeros .

Solution:

Here,

It is given that , (x + 3) and (x - 7) are the factors. of the quadratic polynomial g(x) .

Thus,

The quadratic polynomial g(x) can be written as ;

g(x) = (x + 3)(x - 7) .

Now,

Let's equate the polynomial g(x) to zero , so that we may get its zeros .

Thus,

=> g(x) = 0

=> (x + 3)(x - 7) = 0

If x + 3 = 0 , then

x = -3

Also,

If x - 7 = 0 , then

x = 7

Hence,

x = -3 , 7 are the zeros of g(x) .