Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo

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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo

t 5 EndRoot and 2? f (x) = 3 x cubed minus 6 x squared minus 15 x 30 f (x) = x cubed minus 2 x squared minus 5 x 10 f (x) = 3 x squared minus 21 x 30 f (x) = x squared minus 7 x 10.

Mathematics

2 answers:

NNADVOKAT [17] · Answer 1 · 2023-02-12T04:52:12+03:00

The polynomial function of lowest degree is 3x³ - 6x² - 15x + 30. Then the correct option is A.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and ±√5 and 2.

The roots of the polynomial are ±√5 and 2 with a leading coefficient of 3.

Then f(x) will be given as

f(x) = 3(x + √5)(x - √5)(x - 2)

On simplifying, we have

f(x) = 3(x + √5)(x - √5)(x - 2)

f(x) = 3(x² - 5)(x - 2)

f(x) = 3(x³ -2x² - 5x + 10)

f(x) = 3x³ - 6x² - 15x + 30

The polynomial function of lowest degree is 3x³ - 6x² - 15x + 30. Then the correct option is A.

More about the polynomial link is given below.

brainly.com/question/17822016