blitzbabeiy

2022-01-23

How can I convert $a{x}^{2}+bx+c=0$ to a FOIL-style $(x+d)(x-e)=0$ equation?

Nevaeh Jensen

Beginner2022-01-24Added 14 answers

Step 1

Theres

Theres

Rylee Marshall

Beginner2022-01-25Added 6 answers

Step 1

If a polynomial has a root r (imaginary or real), then you can pull out a factor of$x-r$ .

For example, to factor${x}^{2}+1$ , we first find the roots. You can use the quadratic equation for this in general, but it's easy to see in this example that the roots are i and -i. This means the polynomial ${x}^{2}+1$ factors as $(x-i)(x+i)$ .

Notice this polynomial has no real solutions. There is no amount of algebraic trickery you can do to get around that fact. Depending on your application, you will either have to accept the imaginary roots or regard the polynomial as having no (real) solutions.

If a polynomial has a root r (imaginary or real), then you can pull out a factor of

For example, to factor

Notice this polynomial has no real solutions. There is no amount of algebraic trickery you can do to get around that fact. Depending on your application, you will either have to accept the imaginary roots or regard the polynomial as having no (real) solutions.

RizerMix

Expert2022-01-27Added 656 answers

Step 1$a{x}^{2}+bx+c=a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})$ If you plug a number n into a polynomial and get 0, then $(x-n)$ is a factor of that polynomial. So the two numbers that you can plug into a quadratic polynomial that mkae it add up to 0 correspond to the two factors. But you can't get real numbers if the solutions are not real numbers.

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.