(x^2-10x+30)/(x-5) all it says is dividing polynomials
1 answer:
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)
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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Answer:
y = 1.1
Step-by-step explanation:
Proportion is a statement that two ratios are equal.
It can be written in two ways:
- Two equal fractions
=
- Two equal sides a: b = c: d.
We can use cross products to find a missing term in it.
Let us solve the question
∵ The proportion statement is =
→ Use the cross multiplication to find y
∵ y × 15.4 = 7.7 × 2.2
∴ 15.4y = 16.94
→ Divide both sides by 15.4 to find y
∵ =
∴ y = 1.1
<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>