Question

Show that 2x+7is a factor of 2x^3+7x^2-4x-14.hence factorise 2x^3+7x^2-4x-14

Answer 1

Answer:

(2x + 7)(x + √2)(x - √2)

Step-by-step explanation:

If (2x + 7) is a factor of polynomial then (- $\frac{7}{2}$) zeroes the polynomial.

2(- $\frac{7}{2}$)³ + 7(- $\frac{7}{2}$)² - 4(- $\frac{7}{2}$) - 14 = 0

(2x³ + 7x² - 4x - 14) ÷ (2x + 7) =

[(2x³ + 7x²) - (4x + 14)] ÷ (2x + 7) =

[x²(2x + 7) - 2(2x +x7)] ÷ (2x + 7 =

(2x + 7)(x² - 2) ÷ (2x + 7) = x² - 2

(2x + 7)(x + √2)(x - √2)

Answer 2

Answer:

this is your answer

Step-by-step explanation:

hope it helps