Which polynomial function has a leading coefficient of 1 and roots /7 and - /3 with multiplicity 1?
2 answers:
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>
<u>Substitute and and b:</u>
- f(x) = (x - √2)(x - (-√3)) ⇒
- f(x) = (x - √2)(x + √3)
Correct choice is A
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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