Factors Of Polynomials

x² + 2x – 63

⟹ x² + 9x – 7x – 63

⟹ x(x + 9) – 7(x + 9)

⟹ (x – 7) (x + 9)

So (x – 7) and (x + 9) are the factors of the given polynomial.

y² + 7y – 44

⟹ y² + 11y – 4y – 44

⟹ y(y + 11) – 4(y + 11)

⟹ (y – 4) (y + 11)

So (y – 4) and (y + 11) are the factors of the given polynomial.

x² + 3x – 40

⟹ x² + 8x – 5x – 40

⟹ x(x + 8) – 5(x + 8)

⟹ (x – 5) (x + 8)

So (x – 5) and (x + 8) are the factors of the given polynomial.

k² – 2k – 120

⟹ k² + 10k – 12k – 120

⟹ k(k + 10) – 12(k + 10)

⟹ (k – 12) (k + 10)

So (k – 12) and (k + 10) are the factors of the given polynomial.

p² – p – 420

⟹ p² + 20p – 21p – 420

⟹ p(p + 20) – 21(p + 20)

⟹ (p – 21) (p + 20)

So (p – 21) and (p + 20) are the factors of the given polynomial.

x² + 25x + 144

⟹ x² + 9x + 16x + 144

⟹ x(x + 9) + 16(x + 9)

⟹ (x + 16) (x + 9)

So (x + 16) and (x + 9) are the factors of the given polynomial.

x² – 10x – 144

⟹ x² + 8x – 18x – 144

⟹ x(x + 8) – 18(x + 144)

⟹ (x – 18) (x + 8)

So (x – 18) and (x + 8) are the factors of the given polynomial.

x² + 27x + 72

⟹ x² + 3x + 24x + 72

⟹ x(x + 3) + 24(x + 3)

⟹ (x + 3) (x + 24)

So (x + 3) and (x + 24) are the factors of the given polynomial.

x² – 36x + 203

⟹ x² – 29x – 7x – 203

⟹ x(x – 29) – 7(x – 29)

⟹ (x – 7) (x – 29)

So (x – 7) and (x – 29) are the factors of the given polynomial.

y² – 6y – 72

⟹ y² – 12y + 6y – 72

⟹ y(y – 12) + 6(y – 12)

⟹ (y – 12) (y + 6)

So (y – 12) and (y + 6) are the factors of the given polynomial.

p² + 27x – 90

⟹ p² + 30p – 3p – 90

⟹ p(p + 30) – 3(p + 30)

⟹ (p – 3) (p + 30)

So (p – 3) and (p + 30) are the factors of the given polynomial.

x² – 36x + 324

⟹ x² – 18x – 18x – 203

⟹ x(x – 18) – 18(x – 18)

⟹ (x – 18) (x – 18)

So (x – 18) is the factors of the given polynomial.

y² + 6y – 135

⟹ y² + 15y – 9y – 135

⟹ y(y + 15) – 9(y + 15)

⟹ (y + 15) (y – 9)

So (y – 9) and (y + 15) are the factor of the given polynomial.

s² – 2s – 399

⟹ s² – 21s + 19s – 399

⟹ s(s – 21) + 19(s – 21)

⟹ (s – 21) (y + 19)

So (s – 21) and (s + 19) are the factors of the given polynomial.

x² + 36x + 35

⟹ x² + 35x + x + 35

⟹ x(x + 35) + x(x + 35)

⟹ (x + 1) (x + 35)

So (x + 35) and (x + 1) are the factors of the given polynomial.

11x² – 18x + 7

⟹ 11x² – 11x – 7x – 7

⟹ 11x(x – 1) – 7(x – 1)

⟹ (11x – 7) (x – 1)

So (11x – 7) and (x – 1) are the factors of the given polynomial.

4p² – 9p – 9

⟹ 4p² – 12p + 3p – 9

⟹ 4p(p – 3) + 3(p – 3)

⟹ (p – 3) (4p + 3)

So (p – 3) and (4p + 3) are the factors of the given polynomial.

6x² – 25xy – 9y²

⟹ 6x² – 27xy + 2xy – 9y²

⟹ 3x(2x – 9y) – 1y(2x – 9y)

⟹ (2x – 9y) (3x – 1y)

So (2x – 9y) and (3x – 1y) are the factors of the given polynomial.

5x² + 21xy – 20y²

⟹ 5x² – 25xy + 4xy – 20y²

⟹ 5x(x – 5y) + 4y(x – 5y)

⟹ (5x + 4y) (x – 5y)

So (5x + 4y) and (x – 5y) are the factors of the given polynomial.

3p² – 14p + 15

⟹ 3p² – 9p – 5p + 15

⟹ 3p(p – 3) – 5(p – 3)

⟹ (p – 3) (3p – 5)

So (p – 3) and (3p – 5) are the factors of the given polynomial.

6m² – m – 12

⟹ 6m² – 9m + 8m – 12

⟹ 3m(2m – 3) + 4(2m – 3)

⟹ (3m + 4) (2m – 3)

So (3m + 4) and (2m – 3) are the factors of the given polynomial.

7x² – 5xy – 18y²

⟹ 7x² – 14xy + 9xy – 18y²

⟹ 7x(x – 2y) + 9y(x – 2y)

⟹ (7x + 9y) (x – 2y)

So (7x + 9y) and (x – 2y) are the factors of the given polynomial.

9x² + 5xy – 14y²

⟹ 9x² – 14xy + 9xy – 14y²

⟹ 9x(x – y) – 14y(x – y)

⟹ (9x – 14y) (x – y)

So (9x – 14y) and (x – y) are the factors of the given polynomial.

4m² + 19mn + 12 n²

⟹ 4m² + 16nm + 3mn + 12 n²

⟹ 4m(m + 4n) + 3(m + 4n)

⟹ (4m + 3) (m + 4n)

So (4m + 3) and (m + 4n) are the factors of the given polynomial.

7p² + 18pq – 9q²

⟹ 7p² + 21pq – 3pq – 9q²

⟹ 7p(p + 3q) – 3(p + 3q)

⟹ (7p – 3) (p + 3q)

So (7p – 3) and (p + 3q) are the factors of the given polynomial.

3x² + 3x – 1260

⟹ 3x² – 60x + 63x – 1260

⟹ 3x(x – 20) – 63(x – 60)

⟹ (3x – 63) (x – 20)

So (3x – 63) and (x – 20) are the factors of the given polynomial.

5y² – 30y – 360

⟹ 5y² – 60y + 30y – 360

⟹ 5y(y – 12) + 30(y – 12)

⟹ (y – 12) (5y + 30)

So (y – 12) and (5y + 30) are the factor of the given polynomial.

3x² + 3xy – 1260y²

⟹ 3x² – 60xy + 63xy – 1260 y²

⟹ 3x(x – 20y) – 63y(x – 60y)

⟹ (3x – 63y) (x – 20y)

So (3x – 63y) and (x – 20y) are the factors of the given polynomial.

5y² z² – 5yz– 360

⟹ 5y²z² – 45yz + 40yz – 360

⟹ 5yz(yz – 9) + 40(yz – 9)

⟹ (yz – 9) (5yz + 40)

So (yz – 9) and (5yz + 40) are the factor of the given polynomial.

27m³ + 125n³

⟹ (3m)³ + (5n)³

Using the formula (a³ + b³) = (a + b) (a² – ab + b²)

Here a = 3m and b = 5n.

⟹ (3m + 5n) (9m² – 15mn + 25n²)

p³ + 64q³

⟹ (p)³ + (4q)³

Using the formula (a³ + b³) = (a + b) (a² – ab + b²)

Here a = p and b = 4q.

⟹ (p + 4q) (p² – 4pq + 16q²)

y³ + 216

⟹ (y)³ + (6)³

Using the formula (a³ + b³) = (a + b)(a² – ab + b²)

Here a = y and b = 6.

⟹ (y + 6) (y² – 6y + 36)

2a³ + 250b³

⟹ 2× [a³ + 250b³]

⟹ 2× [(a) ³ + (5b)³]

Using the formula (a³ + b³) = (a + b) (a² – ab + b²)

Here a = a and b = 5b.

⟹ 2× (a + 5b) (a² – 5ab + 25b²)

⟹ (2a + 10b) (a² – 5ab + 25b²)

512k³ + 343

⟹ (8k)³ + (7)³

Using the formula (a³ + b³) = (a + b) (a² – ab + b²)

Here a = 8k and b = 7.

⟹ (8k + 7) (64k² – 56k + 49)

a³ + 1/8a³

⟹ (a)³ + (1/2a)³

Using the formula (a³ + b³) = (a + b) (a² – ab + b²)

Here a = a and b = 1/2a.

⟹ (a + 1/2a)(a² – 1/2 + 1/4a²)

x³ – 8y³

⟹ (x)³ – (2y)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = x and b = 2y.

⟹ (x – 2y) (x² + 2xy + 4y²)

125m³ – 27n³

⟹ (5m)³ – (3n)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = 5m and b = 3n.

⟹ (5m – 3n)(25m² + 15mn + 9n²)

64a³ – 1

⟹ (4a)³ – (1)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = 4a and b = 1.

⟹ (4a – 1) (16a² + 4a + 1)

(x + y)³ – 125

⟹ (x + y)³ – (5)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = x + y and b = 5.

⟹ (x + y + 5) ((x + y)² – 6(x + y) + 36)

216 – 27q³

⟹ (6)³ – (3q)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = 6 and b = 3q.

⟹ (6 – 3q) (36 – 18q + 9q²)

512x³ – 343y³

⟹ (8x)³ – (7y)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = 8x and b = 7y.

⟹ (8x – 7y) (64x² + 56xy + 49y²)

729b³ – 64

⟹ (9b)³ – (4)³

Using the formula (a³ + b³) = (a – b) (a² + ab + b²)

Here a = 9b and b = 4.

⟹ (9b – 4) (81b² + 36b + 16)

x³ – 1/x³

⟹ (x)³ – (1/x)³

Using the formula (a³ - b³) = (a – b) (a² + ab + b²)

Here a = x and b = 1/x.

⟹ (x – 1/x) (x² + 1 + 1/x²)

8y³ – 27/y³

⟹ (2y)³ – (3/y)³

Using the formula (a³ + b³) = (a – b)(a² + ab + b²)

Here a = 2y and b = 3/y.

⟹ (2y – 3/y)(4y² – 6 + 9/y²)