According to Synthetic division below, which of the following statements are true

1 answer:

3 0

Answer:

B, E, and F.

Step-by-step explanation:

We can apply synthetic division when dividing a polynomial P(x) by a binomial in the form (x - a).

Looking at the coefficients, we can see that our dividend is:

$3x^2-11x+10$

Our divisor will be (x - a), where a is the number on the very top left.

So, a = 2.

Thus, our divisor is:

$(x-2)$

Note that our remainder is 0.

So, the synthetic division shown is telling us that:

$( 3x^2 - 11x + 10) \div (x-2) = 3x - 5$

Hence, E is the correct choice. A uses the incorrect divisor.

If the divisor successfully divides with no remainder, then the divisor is a factor.

Since (x - 2) successfully divided with no remainder, (x - 2) is indeed a factor of the polynomial.

Hence, B is also correct.

C uses the wrong factor.

D uses the wrong value. It should be positive 2.

So, F is the correct choice.

Therefore, the answers are: B, E, and F.

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You would calculate this answer with the Pythagorean theorem. The formula is a² + b² = c², which basically means that the sum of two sides squared would equal the side that is missing.
Currently, we are given 6.5 for side 1. The angle measurments we are given is 45º and 90º [the right angle], which means that if we subtract the sum of 45 and 90 from 180 [the total degree amount of every triangle] we can get the missing angle. With the missing angle, we can calculate the length of the second side.
45º + 90º = 135º. 180º - 135º = 45º.
Now that we have the angles of all three sides [45º, 90º, 45º] we can find the second length of the triangle. The fact that two angles are the same [45º] means that the length is also the same.
Thus proving that M is also 6.5 in length, we can square 6.5 and add both sides to each other once squared.
6.5² = 42.25.
42.25 + 42.25 = 84.5.
The square root of 84.5 is 9.19, or 9.2 rounded.