Factor the quadratic polynomials.

${x}^{2}-4x-12$

Russell Gillen
2021-12-16
Answered

Factor the quadratic polynomials.

${x}^{2}-4x-12$

You can still ask an expert for help

MoxboasteBots5h

Answered 2021-12-17
Author has **35** answers

The given quadratic polynomial is ${x}^{2}-4x-12$ .

It is factored as follows.

${x}^{2}-4x-12={x}^{2}-6x+2x-12$

=x(x-6)+2(x-6)

=(x+2)(x-6)

It is factored as follows.

=x(x-6)+2(x-6)

=(x+2)(x-6)

Joseph Fair

Answered 2021-12-18
Author has **34** answers

The given equation is:

${x}^{2}-4x-12$

$\Rightarrow {x}^{2}-4x=12$

Thus,

${x}^{2}-4x=12$

$\Rightarrow {x}^{2}-4x-12=0$

The product of the second degree term and the constant is$-12{x}^{2}$ . Factors of $-12{x}^{2}$ that sum to -4x are -6x and 2x. Thus,

Factorizing which we get,

${x}^{2}-4x-12=0$

$\Rightarrow {x}^{2}-6x+2x-12=0$

$\Rightarrow x(x-6)+2(x-6)=0$

$\Rightarrow (x-6)(x+2)=0$

The required values of x are 6 and -2.

Thus,

The product of the second degree term and the constant is

Factorizing which we get,

The required values of x are 6 and -2.

asked 2021-06-03

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.

$g(x)=3-\frac{{x}^{2}}{4}$

asked 2022-02-05

How do you write a polynomial in standard form, then classify it by degree and number of terms $8g-3{g}^{3}+4{g}^{2}-1$ ?

asked 2022-02-02

What is the standard form of $y=(2x+14)(x+12)-{(7x-7)}^{2}$ ?

asked 2021-12-13

Show that $f\left(x\right)={x}^{2}+3x-1$ and $g\left(x\right)=3{x}^{3}-9x+x-2$ are rational functions - that is, quotients of polynomials.

asked 2022-01-30

What is the standard form of $y=(5x-2)({x}^{2}-3)$ ?

asked 2021-05-19

Solve the following quadratic equations by factorization method

$\frac{x+3}{x-2}-\frac{1-x}{x}=\frac{17}{4}$

asked 2021-03-24

Express as a polynomial.

$(4{r}^{2}-3s)}^{2$