Question

1) statement (A) : the polynomial f(x) =x^155-y^155is divisible by (x-y) statement (B) : thae expression (x-1) is a factor of the polynomial 99x^2-88x-11. a) both a and b are true b) both a and b are flase c) a is true and b is flase d) a is flase and b is true. Matrix matching type . 1) f(x) =x^2-3x+2 2) f(x) =2x^4-6x^3+3x^2+3x-2 3) f(x) =6x^3+x^2-4x+1 4) f(x)=6x^2-5x-1 a) (x-1) b) (x+1) c) (2x-1) d) (x-2)​ please give me answer i will give you brian list mark please slove it

Answer 1

Answer:

a

Step-by-step explanation:

Answer 2

The statement A is true but the statement B is false ( option c)

• The polynomial in first statement ,

⇒ ${x}^{155} - {y}^{155}$ can be be written as $({x}^{150} + {y}^{150} )( {x}^{5} - {y}^{5})$

and,

⇒ $( {x}^{5} - {y}^{5})$ can be written as $( {x}^{4} + {y}^{4} )(x - y)$

Hence (x- y) is a factor of the above polynomial.

• For the statement B the polynomial:

$99 {x}^{2} + 88x - 11$

does not have (x-1) as its factor. This is because the coefficient of x² is 99. The factors of 99 are 9×11 or 33×3.

• 33 and 3 or 9 and 11 do not give 11 as their product.
• No numbers have 11 as their product as 11 is a prime number.
• This means the polynomial does not have a perfect factor.

Hence, the expression (x-1) is a NOT factor of the polynomial

99x^2-88x-11.

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