What is a quadratic function with only the two real zeros given? x = -4 and x = -1
y = x⁴ + 5x³ + 5x² + 5x + 4
y = x⁴ - 5x³ - 5x² - 5x - 4
y = -x⁴ + 5x³ + 5x² + 5x + 4
y = x⁴ + 5x³ + 5x² + 5x - 5

Solution:

A quadratic function is a polynomial function with one or more variables in which the highest power of the variable is two.

In the question, we have to find a quadratic function with two real zeros given

The degree of the quadratic function is 4

The functions contains two real roots where roots has their multiplicity.

Substitute x as -4 and -1

If f (x) value = 0 at x = -4 and -1,

then the function contains two zeros -4 and -1

Now in y = x⁴ + 5x³ + 5x² + 5x + 4

Substitute x = -1

y = (-1)⁴ + 5(-1)³ + 5(-1)² + 5(-1) + 4 = 0

Substitute x = -4

y = (-4)⁴ + 5(-4)³ + 5(-4)² + 5(-4) + 4 = 0

Therefore, a quadratic function with only the two real zeros given is y = x⁴ + 5x³ + 5x² + 5x + 4.

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What is a quadratic function with only the two real zeros given? x = -4 and x = -1

Summary:

A quadratic function with only the two real zeros given x = -4 and x = -1 is y = x⁴ + 5x³ + 5x² + 5x + 4.