Question

When ax3 + 5x2 - 2x + 27 is divided by (x + 4), the remainder is -13. Find the value of a.​

Answer 1

✫ The value of a is 2.✫

Step-by-step explanation:

Here,

• x + 4 = 0
• x = -4

• f(x) = ax³ + 5x² - 2x + 27 = -13

Putting the values,

• f(-4) ⇒ ax³ + 5x² - 2x + 27 = -13

➽ f(-4) ⇒ a(-4)³ + 5(-4)² - 2(-4) + 27 = -13

➽ f(-4) ⇒ -64a + 5(16) + 8 + 27 = -13

➽ f(-4) ⇒ -64a + 80 + 8 + 27 = -13

➽ f(-4) ⇒ -64a + 115 = -13

➽ f(-4) ⇒ -64a = -13 - 115

➽ f(-4) ⇒ -64a = -128

➽ f(-4) ⇒ a = -128/-64

➽ f(-4) ⇒ a = 2

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