What postulate or theorem proves this?

Mathematics

1 answer:

Anastasy [175]3 years ago

5 0

If 2 lines are crossed by a transversal so that the alternate interior angles are congruent, then the 2 lines are parallel

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Write an equation for the cubic polynomial functior

d1i1m1o1n [39]

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity.

Step-by-step explanation:

We need to write an equation for the cubic polynomial function

whose graph has zeroes at 2, 3, and 5.

Zeros mean:

x=2, x=3 and x=5

x-2=0, x-3=0 and x-5=0

Multiplying all the factors:

$(x-2)(x-3)(x-5)=0\\(x-2)(x(x-5)-3(x-5))=0\\(x-2)(x^2-5x-3x+15)=0\\(x-2)(x^2-8x+15)=0\\x(x^2-8x+15)-2(x^2-8x+15)=0\\x^3-8x^2+15x-2x^2+16x-30=0\\x^3-8x^2-2x^2+15x+16x-30=0\\x^3-10x^2+31x-30=0\\$

So, the cubic polynomial function is $x^3-10x^2+31x-30=0$

No, none of the roots have multiplicity, A root has multiplicity if it appears more than 1 time. Like if (x-1)^2 is a root then 1 has multiplicity 2

Keywords: Polynomial Function

Learn more about Polynomial Function at:

#learnwithBrainly

6 0

3 years ago

Please help my guys plaese

bixtya [17]

Answer: I think it’s A

Step-by-step explanation:

Not sure though

7 0

3 years ago