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3 years ago

What must be true in order for a term x – a to be a factor of a polynomial f(x)?

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

Option B will be the correct one.

Step-by-step explanation:

The factor of a polynomial, y = f(x) is obtained by making f(c) = 0 and then solving the equation f(c) = 0 for c and then from the obtained value of c we say (x - c) is a factor of the polynomial y = f(x).

Now, on the reverse, the term (x - a) will be a factor of a polynomial, y = f(x), if and only if f(a) = 0.

Therefore, option B will be the correct one. (Answer)

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What is the solution to x2 = 225?

Blababa [14]

Answer:

x = ± 15

Step-by-step explanation:

Given

x² = 225 ( take the square root of both sides )

x = ± $\sqrt{225}$ = ± 15

That is x = - 15 0r x = 15

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3 years ago

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What is the perimeter of the parallelogram?

Leni [432]

Answer:

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Step-by-step explanation:

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3 years ago

A boat that sold for $12,500 had a sales tax of $562.50. How much is the tax on a boat that sells for $9,550?

Degger [83]

Answer:

$429.75

Step-by-step explanation:

First, find the tax rate on the sale of the boat: Let r represent that rate. Then,

$12,500r = $562.50. Solving for r, we get r = $562.50 / $12,500 = 0.045

The tax rate is 0.045, or 4.5%.

Applying this tax rate to a boat selling for $9,550:

0.045($9,550) = $429.75. This is the amount of tax on the 2nd boat.

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3 years ago

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LUCKY_DIMON [66]

Rounded, the answer would be 2.86.

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3 years ago

Tan(-212°)=____. 1. -cot 32° 2. tan 32° 3. cot 32° 4. -tan 32°

Marrrta [24]

Answer:

4. $-\tan 32$ °

Step-by-step explanation:

Given:

The tangent of the angle is given as:

$\tan (-212\°)$

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.

-212° when measured from counter clockwise direction will be equal to:

$-212\°(Clockwise)=360-212=148\°(CCW)$

Therefore, $\tan (-212\°)$ = $\tan (148\°)$

Now, we have the identity for tan as:

$\tan(\pi-\theta)=-\tan \theta$

Here, $\theta=148\°$

Therefore,

$-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)$

Hence, $\tan (-212\°)$ = $\tan (148\°)$ = $-\tan 32$ °

5 0

3 years ago