A) corresponding angle theorem
Answer:
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The equation of a line given the slope and y-intercept is given as;
m(x-x₁) = (y-y₁)
∴equation of line with m = 2 and y-intercept = (0,3) =
2(x - 0) = (y - 3)
= 2x - 0 = y - 3
making y the subject obtains y = 2x + 3.
so, equation of the line: y = 2x + 3.
Answer:

Step-by-step explanation:
<u>Roots of a polynomial</u>
If we know the roots of a polynomial, say x1,x2,x3,...,xn, we can construct the polynomial using the formula

Where a is an arbitrary constant.
We know three of the roots of the degree-5 polynomial are:

We can complete the two remaining roots by knowing the complex roots in a polynomial with real coefficients, always come paired with their conjugates. This means that the fourth and fifth roots are:

Let's build up the polynomial, assuming a=1:

Since:


Operating the last two factors:

Operating, we have the required polynomial:
