4y^2+5y-6 factor?

Answer 1

4y^2 + 5y - 6

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

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

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

Answer 2

Q1: 15b² - 7b - 2 b² - 7/30b = 2/15 + (- 7/30)² b² - 7/30b = a hundred and twenty/900 + 40 9/900 (b - 7/30)² = 169/900 b - 7/30 = +/- 13/30 = b - 7/30 - 13/30, = b - 20/30, = b - 2/3, = 3b - 2 = b - 7/30 + 13/30, = b + 6/30, = b + a million/5, = 5b + a million answer: (3b - 2)(5b + a million) Q2: 8y² + 6y + a million y² + 3/8y = - a million/8 + (3/8)² y² + 3/8y = - 8/sixty 4 + 9/sixty 4 (y + 3/8)² = a million/sixty 4 y + 3/8 = +/- a million/8 = y + 3/8 - a million/8, = y + 2/8, = y + a million/4, = 4y + a million = y + 3/8 + a million/8, = y + 4/8, = y + a million/2, = 2y + a million answer: (4y + a million)(2y + a million) Q3: 5y² - 2y - 3 y² - a million/5y = 3/5 + (- a million/5)² y² - a million/5y = 15/25 + a million/25 (y - a million/5)² = sixteen/25 y - a million/5 = +/- 4/5 = y - a million/5 - 4/5, = y - 5/5, = y - a million = y - a million/5 + 4/5, = y + 3/5, = 5y + 3 answer: (y - a million)(5y + 3) q4: 4y² + 25y + 6 y² + 25/8y = - 3/2 + (25/8)² y² + 25/8y = - ninety six/sixty 4 + 625/sixty 4 (y + 25/8)² = 529/sixty 4 y + 25/8 = +/- 23/8 = y + 25/8 - 23/8, = y + 2/8, = y + a million/4, = 4y + a million = y + 25/8 + 23/8, = y + 40 8/8, = y + 6 answer: (4y + a million)(y + 6) Q5: 4a² - 8a - 5 a² - a = 5/4 + (- a million)² a² - a = 5/4 + 4/4 (a - a million)² = 9/4 a - a million = +/- 3/2 = a - 2/2 - 3/2, = a - 5/2, = 2a - 5 = a - 2/2 + 3/2, = a + a million/2, = 2a + a million answer: (2a - 5)(2a + a million) Q6: 7x² - 9x - 10 x² - 9/14x = 10/7 + (- 9/14)² x² - 9/14x = 280/196 + 80 one/196 (x - 9/14)² = 361/196 x - 9/14 = +/- 19/14 = x - 9/14 - 19/14, = x - 28/14, = x - 2 = x - 9/14 + 19/14, = x + 10/14, = x + 5/7, = 7x + 5 answer: (x - 2)(7x + 5)

Answer 3

4y² + 5y - 6. Find two factors of (4)(-6) = -24 that add to (+5) [they're 8 and -3], then factor by grouping.

4y² + 5y - 6
= 4y² + (-3y + 8y) - 6
= (4y² - 3y) + (8y - 6)
= y(4y - 3) + 2(4y - 3)
= (y + 2)(4y - 3).

Answer 4

= 4y^2 + 5y - 6
= (4y - 3) (y + 2)

4y - 3 = 0, 4y = 3, y = 3/4
y + 2 = 0, y = - 2

Answer: y is either 3/4 or - 2

Answer 5

I think I answered your last answer...well I'll help you with this one too because factoring is one of the best things I know.

Multiply first and third terms
4*-6=-24
What multiplies to give you -24, adds to give you 5?
8 and -3
Here it is rewritten:
(4y^2+8y)-(3y-6)
Simplify:
4y(y+2)-3(y+2)
Your answer is:
(4y-3) (y+2)

Check your answer by foiling:
(4y-3)(y+2)
4y^2+8y-3y-6
4y^2+5y-6

Again, hope this helps!

Answer 6

I am going to teach you how to read these equations.

What are the factors of 4 and 6 that subtract to give you a positive 5?

4 ----> 1,4 and 2,2
6 ----> 1,6 and 2,3

which combination will (subtract) to give you (+)5

4x2=8
1x3=3

8-3=5

(4y - 3)(y + 2)

Answer 7

4x(-6) = -24
then try the factors 1,24; 2,12, 3,8; 4,6
because it is negative you subtract until you find the one that match the coeff of y. In this case 8-3 = 5

4x2 = 8 1x3 = 3
(4y - 3)(y + 2)

Answer 8

4y² + 5y - 6
4y² +8y -3y -6
4y(y+2) -3(y+2)
(y+2)(4y-3)
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Answer 9

10y^3-6=(4y - 3)(y + 2)

Answer 10

(4y-3) (y+2)