What is the remainder when (x4 + 36) is divided by (x2 – 8)? 36

100

Step-by-step explanation:

(x^4 + 36) is divided by (x^2 - 8)

(x^4 + 36) / (x^2 - 8)

where x^4 is divided by x^2 - 8 when multiplied by x^2 (which becomes the quotient)

So the remainder we have is equal to 8x^2 + 36

Now 8x^2 + 36 is further divided by x^2 - 8 where 8x^2 is cancelled and the remainder 35 and 64 are added to give a value of 100.

is it 35

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°