Question

hii solve the above question ......​

Answer 1

SOLUTION

Given

• p(x) = 8x⁴+4x³-16x²+10x+m
• g(x) = 2x-1

Need to find

• Value of m

Step by Step Explanation

• p(x) = 8x⁴+4x³-16x²+10x+m
• g(x) = 2x-1

➺ 2x-1=0

➺ 2x=1

➺ x=1/2

Putting value of x in p(x)

p(x) = 8x⁴+4x³-16x²+10x+m =0

➺ 8×(1/2)⁴+4×(1/2)³-16×(1/2)²+10×1/2+m=0

➺ 8×1/16 + 4×1/8-16×1/4+10×1/2+m=0

➺ 1/2+1/2-16/4+10/2+m=0

Take LCM

➺ (2+2-16+20+4m)/4=0

➺ 4-16+20+4m=0

➺ 24-16+4m=0

➺ 8+4m=0

➺ 4m=-8

➺ m=-8/4

➺ m=-2

Hence

• Value of m = -2

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Answer 2

SOLUTION

Given

p(x) = 8x⁴+4x³-16x²+10x+m

g(x) = 2x-1

Need to find

Value of m

Step by Step Explanation

p(x) = 8x⁴+4x³-16x²+10x+m

g(x) = 2x-1

➺ 2x-1=0

➺ 2x=1

➺ x=1/2

Putting value of x in p(x)

p(x) = 8x⁴+4x³-16x²+10x+m =0

➺ 8×(1/2)⁴+4×(1/2)³-16×(1/2)²+10×1/2+m=0

➺ 8×1/16 + 4×1/8-16×1/4+10×1/2+m=0

➺ 1/2+1/2-16/4+10/2+m=0

Take LCM

➺ (2+2-16+20+4m)/4=0

➺ 4-16+20+4m=0

➺ 24-16+4m=0

➺ 8+4m=0

➺ 4m=-8

➺ m=-8/4

➺ m=-2

Hence

Value of m = -2

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