Question

If function g has the factors (x − 7) and (x 6), what are the zeros of function g? a. -7 and 6 b. -6 and 7 c. 6 and 7 d. -7 and -6

Answer 1

The correct option B.

The value of the zeros of function g is -6 and 7

What is Quadratic equation?

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

According to the given information:

The factors are  (x − 7) and (x + 6)

On simplifying the we get:

x²+ 6x -7x -42 = 0

x² - x - 42 = 0

The factorizing these equation we get.

So the zeros are -6 and 7 , so option b is correct.

$x_{1,2}=\frac{-(-1) \pm \sqrt{(-1)^{2}-4 \cdot 1 \cdot(-42)}}{2 \cdot 1}$

$x_{1,2}=\frac{-(-1) \pm 13}{2 \cdot 1}$

$x_1,_2$ = ((1) ± 13)/2.1

$x_1$    = (1+13)/2.1

$x_2$     = (1 - 13)/2.1

$X_1$ = 7 , $X_2$ = -6

The Zeros of the function are: (7 , -6)

To know more about Quadratic equation visit:

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