Question

Factor the expression and use the factor to find the x-intercepts of the quadratic relationship it represents.

The x intercepts occur where x= ___ and x= ___

Answer 1

Answer:

-3 and 8

Step-by-step explanation:

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Answer 2

The x intercepts occur where x = 8 and x= -3

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is $ax^{2}+bx+c=0$.

What is x intercept?

The x-intercept is where a line crosses the x-axis

Given,

$-x^{2} +5x+24=0$

Factor the expression,

$-x^{2} +5x+24=0\\-(x^{2} -5x-24)=0\\x^{2} -5x-24=0\\(x-8)(x+3)=0$

Therefore,

x= 8 and x = -3

Hence, the x intercepts occurs where x= 8  and x= -3

Learn more about Quadratic equation and x intercept here

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