Question

If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?

Answer 1

The zeroes of the function will be equal to ( 7, -6 ).

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given function:-

• ( x- 7 ) ( x+ 6 )

As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.

( x- 7 )  = 0

x = 7

( x+ 6 ) = 0

x = -6

Therefore zeroes of the function will be equal to ( 7, -6 ).

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Answer 2

Function Equations

When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.

Solving the Question

We're given:

• Function g has factors (x-7) and (x+6)

Therefore, the zeros of the function are 7 and -6.

Answer

-6, 7