Mathematics, 25.06.2019 18:30 Dweath50

Match each trinomial to its factored form. (y - 2)(3y + 4) 3y2 + 2y - 8 (y + 2)(3y - 4) 3y2 + 13y - 10 (3y + 2)(y - 5) 3y2 - 13y - 10 (3y - 2)(y + 5) 3y2 - 2y - 8 arrowboth arrowboth arrowboth arrowboth

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Answer from: NickWinston8712

Match each trinomial to its factored form:

1. (y-2)(3y+4)

Multiplying each term in the first expression by each term in a second expression.

y(3y+4) -2(3y+4)

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

(3y^2 + 4y) -(6y + 8)

Remove the parenthesis, we have;

3y^2 + 4y -6y -8

combine like term ;

3y^2-2y -8

2. (y+2)(3y-4)

Multiplying each term in the first expression by each term in a second expression.

y(3y-4) +2(3y-4)

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

(3y^2 - 4y) + (6y - 8)

Remove the parenthesis, we have;

3y^2 - 4y + 6y - 8

combine like term ;

3y^2 + 2y -8

3. (3y+2)(y-5)

Multiplying each term in the first expression by each term in a second expression.

3y(y-5) +2(y-5)

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

(3y^2 - 15y) + (2y - 10)

Remove the parenthesis, we have;

3y^2 - 15y + 2y - 10

combine like term ;

3y^2 -13y -10

4. (3y-2)(y+5)

Multiplying each term in the first expression by each term in a second expression.

3y(y+5) -2(y+5)

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

(3y^2 + 15y) - (2y + 10)

Remove the parenthesis, we have;

3y^2+ 15y - 2y - 10

combine like term ;

3y^2 + 13y -10

Column 1 Column 2

(y-2)(3y+4) 3y^2-2y -8

(y+2)(3y-4) 3y^2+ 2y -8

(3y+2)(y-5) 3y^2 -13y -10

(3y-2)(y+5) 3y^2 + 13y -10

Answer from: HaileyAnn04

3y^2 + 2y - 8=(3y-4)(y+2)

3y^2 + 13y - 10=(3y-2)(y+5)

3y^2 - 13y - 10=(3y+2)(y-5)

3y^2 - 2y - 8=(3y+4)(y-2)

Step-by-step explanation:

Given trinomial are

$3y^2 + 2y - 8\\3y^2 + 13y - 10\\3y^2 - 13y - 10\\3y^2 - 2y - 8$ .

we have to convert these in factored form

3y^2 + 2y - 8=3y^2+6y-4y-8

= 3y(y+2)-4(y+2)

= (3y-4)(y+2)

3y^2 + 13y - 10=3y^2+15y-2y-10

= 3y(y+5)-2(y+5)

= (3y-2)(y+5)

3y^2 - 13y - 10=3y^2-15y+2y-10

= 3y(y-5)+2(y-5)

= (3y+2)(y-5)

3y^2 - 2y - 8=3y^2-6y+4y-8

= 3y(y-2)+4(y-2)

= (3y+4)(y-2)

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Match each trinomial to its factored form. (y - 2)(3y + 4) 3y2 + 2y - 8 (y + 2)(3y - 4) 3y2 + 13y -...

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