Find the factors of f(x) given that x = 5 is a zero.
1 answer:
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
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Answer:
Step-by-step explanation:
Let the cost of the item is C.
Case I :
first sale is applied
so, the price of item = one third = C - C/3 = 2C/3
Now coupon is applied
so, the price of item = = C/2
case II :
First coupon is applied
so, the price of item = C - C/4 = 3C/4
Now sale is applied
the price of item = = C/2
So, it does not matter that either coupon is applied first or the sale is applied first the final cost of the item remains same.