Question

Factor the polynomial.

Answer 1

$(4y - 3x)(-y - 3)$ is the factored form of given polynomial $- 4y^2 + 3xy - 12y + 9x$

Solution:

Given that we have to factor the given polynomial

Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

Factoring a polynomial involves writing it as a product of two or more polynomials

Given polynomial is: $- 4y^2 + 3xy - 12y + 9x$

Step 1 :

We can use factoring by grouping

Group $-4y^2$ with 3xy and −12y with 9x then factor each group.

$\rightarrow (- 4y^2 + 3xy) + ( - 12y + 9x)$

Taking -y as common term from first two terms and -3 as common term from last two terms

$\rightarrow -y(4y - 3x) - 3(4y - 3x)$

Now taking (4y - 3x) as common term

$\rightarrow (4y - 3x)(-y - 3)$

So the given polynomial is factored