<span>In polynomials we have not of an imaginary unit (i), therefore we have the fourth zeros -1-2i.</span>
![f(x)=(x-5)(x+3)\left[x-(-1-2i)\right]\left[x-(-1+2i)\right]\\\\=(x^2+3x-5x-15)[x^2-x(-1+2i)-x(-1-2i)+(-1)^2-(2i)^2]\\\\=(x^2-2x-15)(x^2+x-2i+x+2i+1+4)\\\\=(x^2-2x-15)(x^2+2x+5)\\\\=x^4+2x^3+5x^2-2x^3-4x^2-10x-15x^2-30x-75\\\\=x^4-14x^2-40x-75](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%28x%2B3%29%5Cleft%5Bx-%28-1-2i%29%5Cright%5D%5Cleft%5Bx-%28-1%2B2i%29%5Cright%5D%5C%5C%5C%5C%3D%28x%5E2%2B3x-5x-15%29%5Bx%5E2-x%28-1%2B2i%29-x%28-1-2i%29%2B%28-1%29%5E2-%282i%29%5E2%5D%5C%5C%5C%5C%3D%28x%5E2-2x-15%29%28x%5E2%2Bx-2i%2Bx%2B2i%2B1%2B4%29%5C%5C%5C%5C%3D%28x%5E2-2x-15%29%28x%5E2%2B2x%2B5%29%5C%5C%5C%5C%3Dx%5E4%2B2x%5E3%2B5x%5E2-2x%5E3-4x%5E2-10x-15x%5E2-30x-75%5C%5C%5C%5C%3Dx%5E4-14x%5E2-40x-75)
Answer:
B)
Answer:
The value of x = -6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that g(x) = 2 x + 4 and g (x ) = -8
⇒ Equating
2 x +4 = - 8
Subtracting '4' on both sides, we get
2 x + 4 - 4 = -8 -4
⇒ 2 x + 0 = -12
⇒ 2 x = -12
<u><em>Step(ii):-</em></u>
Dividing '2' on both sides, we get
x = -6
The value of x = -6
Answer:
Vertex form: 
Standard form: 
Step-by-step explanation:
A quadratic function in vertex form is 
where 
is the vertex.
We are given 
.
Let's plug that in:
.
Now let's find 
.
We will use the 
-intercept 
to find .
So the function in vertex form is:
.
In standard form, we will have to multiply and combine any like terms.
Let's do that:
The answer is: [A]: " -53 " .
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Explanation:
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Given:
" Let f(x) = -2x −<span> 7 and g(x) = -4x + 3. Find (f o g)(-5) " ;
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First, find g(-5) . g(x) = -4x + 3.
g(-5) = -4*(-5) + 3 = 20 + 3 = 23 ;
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Now find f (g(-5) to get the answer; that is f(23);
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Find f(23). f(x) = -2x </span>− 7 .
f(23) = (-2*23) − 7 = -46 <span>− </span>7 = -53 ; which is "Answer choice: [A]" .
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