Answer:
Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
<u>The polynomial is:</u>
- (x - 3)(x - (4 + i))(x - (4 + i)) =
- (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
- (x - 3)(x² - 8x + 16 - (-1)) =
- (x - 3)(x² - 8x + 17) =
- x³ - 8x² + 17x - 3x² + 24x - 51 =
- x³ - 11x² + 41x - 51
I’m pretty sure the second questions answer is y=3x+2
Answer:
A
Step-by-step explanation:
sin θ=3/8
θ=sin ^{-1}(3/8)
≈22.02 °
Answer:
The standard form of quadratic equation is 
The factored form of
is 
Step-by-step explanation:
Given equation 
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as 
Consider
Taking all terms to left side, we have,

Adding like terms, we have,

Now we will factorize it.
We will solve the quadratic equation
using middle term splitting method,
-16x can be written as -18x+2x
becomes

Taking x common from first two terms and 2 common from last two terms we have,


Thus, the factored form of
is 
1-
number 2) is correct
2- 3) is true
11) Jacob is not correct. because 6radical 5 is irrational
12) radical 20 is an irrational number but
so a+b is irrational
but

so b+c is rational
good luck