Question

Please help me to solve this....do it as fast as you can....maybe it will be very grateful for me...​

Answer 1

Given :-

If x = -1/4 is a zero of polynomial p(x) = 8x³ - ax² - x + 2

To Find :-

Value of a

Solution :-

p(x) = 8x³ - ax² - x + 2

Since, it is given that -1/4 is a zero, So by putting value of x as -1/4 the result of the equation would be 0

⇒ 0 = 8(-1/4)³ - a(-1/4)² - (-1/4) + 2

⇒ 0 = (8 × -1/64) - (a × -1/16) + 1/4 + 2

⇒ 0 = -1/8 - (-a/16) + (1 + 8)/4

⇒ 0 = -1/8 + a/16 + 9/4

⇒ 0 = -2 + a + 36/16

⇒ 0 = 34 + a/16

⇒ 0 = 34 + a

⇒ -34 = a

Therefore, Value of a is -34