(x^2-10x+30)/(x-5) all it says is dividing polynomials

Mathematics

1 answer:

galina1969 [7]2 years ago

7 0

At each step, you determine the quotient term by dividing the highest-degree term of the dividend by the highest degree term of the divisor. When you can't do that anymore, you're done and the remaining dividend is the remainder.

Here, the highest-degree dividend term is x^2 and the highest-degree divisor term is x. Their ratio, x^2/x = x, is the first quotient term. In the usual manner of long division, you subtract the product of this quotient term and the divisor to get the new dividend.

For this problem, the quotient is (x -5) and the remainder is 5. You can write the result as
(x² -10x +30)/(x -5) = (x -5) +5/(x -5)

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Question 4 options: Parallelogram ABCD is a rectangle. AX = 3y − 5BD = 5y What is the value of y? Enter your answer in the box.

kari74 [83]

⇒If parallelogram A B CD is a rectangle, then Diagonals of parallelogram that is of rectangle will be of equal Length.

That is , Diagonal AC = Diagonal B D

⇒Given, AX= 3 y- 5

So, AC= 2 × (3 y- 5)→→[Diagonals of Parallelogram Bisect each other]

And, B D = 5 y

So,A C = B D ⇒→→Diagonals of a rectangle are equal.]

→2 ×(3 y - 5) = 5 y

→ 6 y - 10 = 5 y →→[Using Distributive Property of subtraction with respect to multiplication]

Combining Like terms that is Variables with Variables and Constant with Constant.

→ 6 y - 5 y = 10

→ y = 10

3 0

2 years ago

In the diagram shown, AE 1/3AC and ED ll CB. Explain why df must be one-fourth length of CD

Blizzard [7]

The value of the length DF is 1/4 of that of CD because of the Angle Bisector Theorem for triangles.

<h3>What is the Angle Bisector Theorem?</h3>

The Angel Bisector Theorem states that if a ray bisects an angle of a triangle, it dissects the side of the triangle that is opposite to the dissected angle into parts that are proportionate to the adjacent sides.

Note that the angle that has been dissected here is ∠CBD. Thus,

$\frac{DF}{CF}$ = $\frac{BD}{BC}$