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ki77a [65]
3 years ago
6

Factor the polynomial.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
3 0

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

<em><u>Solution:</u></em>

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.

<em>Factoring a polynomial involves writing it as a product of two or more polynomials</em>

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

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