3 years ago

Factor the expression completely. x^4-11x^2+28 x 4 −11x 2 +28

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer:

(x² - 7)(x² - 4)

Step-by-step explanation:

We can actually factor this the same way we would solve a normal quadratic equation. We will end up with the factored terms have squares of x instead of just x.

x⁴ - 11x² + 28

= x⁴ - 4x² - 7x² + 28

= x²(x² - 4) - 7(x² - 4)

= (x² - 7)(x² - 4)

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Lerok [7]

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3 years ago

What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

polet [3.4K]

Answer:

(-5,-28)

Step-by-step explanation:

Given

$f(x)=x^2+10x - 3$

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

$f(x)= ax^2+bx +c$

By comparison;

$a = 1\ b = 10\ and\ c = -10$

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

$x = \frac{-b}{2a}$

Substitute 10 for b and 1 for a

$x = \frac{-10}{2*1}$

$x = \frac{-10}{2}$

$x = -5$

Substitute $x = -5$ in the given function;

$y=x^2+10x - 3$

$y=(-5)^2+10*-5 - 3$

$y=25-50 - 3$

$y=-28$

<em>Hence, the coordinates of the vertex is (-5,-28)</em>

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4 years ago

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Anni [7]

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3 years ago

Read 2 more answers

Find each of the following products. Show your work.

madam [21]

Step-by-step explanation:

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3 years ago

What is the difference between the largest prime number less then 50 and the smallest composite number greater then 10

alex41 [277]

Answer:

Step-by-step explanation:

largest prime number less than 50 = 47

smallest composite number greater than 10= 12

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4 years ago