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Igoryamba
2 years ago
12

Which polynomial function has a leading coefficient of 1 and roots /7 and - /3 with multiplicity 1?

Mathematics
2 answers:
VladimirAG [237]2 years ago
4 0

Answer:

  • A.  f(x) = (x - √2)(x + √3)

Step-by-step explanation:

Leading coefficient is 1, multiplicity is 1, roots are √2 and -√3. It means the function is the product of two binomials.

<u>The function with the roots of a and b is:</u>

  • f(x) = (x - a)(x - b)

<u>Substitute and and b:</u>

  • f(x) = (x - √2)(x - (-√3)) ⇒
  • f(x) = (x - √2)(x + √3)

Correct choice is A

Solnce55 [7]2 years ago
3 0

Answer:

for a

f(x)=(x-√2)(x+√3)

f(x)=(x-√2)(x-(-√3))

it has coefficient of 1 and roots √2 and -√3 with multiplicity 1

for second

f(x)= (x + √2)(x-√3)

f(x)= (x -( √2))(x-√3)

it has coefficient of 1 and but not roots √2 and -√3 with multiplicity 1

for third

f(x)=(x-√2)(x-√2)(x-√3)(x-√3)

f(x)=(x-√2)²(x-√3)²

it has coefficient of 1 and but not roots √2 and -√3 with multiplicity 1

for forth

f(x)=(x-√2)(x+√2)(x-√3)(x+√3)

f(x)=(x²-2)(x²-3)it has coefficient of 1 and but not roots √2 and -√3 with multiplicity 1

So

<u>f(x)=(x-√2)(x-(-√3))</u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>

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