Answer:
The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0
has solutions x = 2 and x = 3.
Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.
Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.
A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.
As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.
Answer:
−
3
x
+
6
Step-by-step explanation:
Answer:
935 = 6a + 3.5c (this is the amount that has been raised)
210 = a + c (this is this amount of the dinners being sold)
Step-by-step explanation:
so a = 210 - c
935 = (6 * (210 - c)) + 3.5c
6 * 210 is 1260, so:
935 = 1260 - 6c + 3.5c
2.5c = 1260 - 935
2.5c = 325
so c = 130
a = 210 - 130 = 80
We know that 80 adult dinners were sold.
We also know 130 child dinners were sold as well.
Im so sorry.. I did not mean to submit an answer..
And I honestly don't know how to get rid of my answer.. but I will try to help.
4x²- 20x=0 = 
= -√5, 
= √5
3x²-42=0 = = -√14, = √14
2x²-14x=0 = = 0, = 7
8x²-98=0 = = -
, =
I hope that these are the answers that you wanted, if they are not, I am sorry, tell me and I will try to fix them.
Answer:
see below
Step-by-step explanation:
g(x) = (x² - 2 * 1/2 x) - 6
= (x - 0.5)² - 0.25 - 6
= 1(x - 0.5)² - 6.25
