30x^7
Multiply the coefficients (6•5) to get 30, then add the exponents (4+3) to get 7
Hope this helps!
Answer:
x⁴ + 2 x² + 1
Step-by-step explanation:
given solution of the polynomial
i, −i, 1, −1.
equation of the polynomial will be equal to
=(x - i)(x + i)(x - 1)(x + 1)
= (x² + i x - i x - i²)(x² + x - x + 1)
=(x² - (-1))(x² + 1 )
= (x² + 1)(x² + 1)
= x⁴ + x² + x² + 1
= x⁴ + 2 x² + 1
hence, the required polynomial equation is x⁴ + 2 x² + 1
Answer:
x = 
Step-by-step explanation:
Given
-
=
← factor denominator
-
= 
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x = 
However, x ≠ - 1 for reason given above, then
solution is x = 
Answer:
It could be to: collect data from a sample of every twentieth student who arrives at school one day
Answer:
15,000
Step-by-step explanation:
20% of 15,000 is 3,000. 15,000-3,000=12,000