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klio [65]
2 years ago
11

What are the x-intercepts of this quadratic function? g(x) = -2(x - 4)(x + 1)

Mathematics
1 answer:
Sav [38]2 years ago
3 0

Answer:

4 and -1

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercepts of the given function . The function is ,

\bf \implies g(x) = -2( x -4)(x+1)

Step 1 : <u>Equate </u><u>the </u><u>function</u><u> </u><u>with</u><u> </u><u>0</u><u>,</u>

\bf \implies -2( x -4)(x+1) = 0

Step 2: <u>Equating</u><u> </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u>

Now equate each factors seperately with 0 , to get the x Intercepts.

Step 3: <u>Finding</u><u> the</u><u> </u><u>intercepts </u><u>:</u><u>-</u>

\bf \implies x - 4 = 0 \\\\\implies\boxed{\bf\blue{ x = 4 }}

Again ,

\bf \implies x + 1 = 0 \\\\\implies\boxed{ \blue{\bf x = -1}}

<u>Hence</u><u> the</u><u> </u><u>x </u><u>intercep</u><u>t</u><u>s </u><u>are </u><u>4</u><u> </u><u>and </u><u>-</u><u>1</u><u> </u><u>.</u>

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