What number must be added to the expression below to complete the square? x² - 18x
1 answer:
Answer:
Step-by-step explanation:
The standard form of a quadratic is:
To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:
follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:
The b in the expression is -18.
This is the number that is added.
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A die can have 6 possible outcomes.
The probability of an event is calculated using the formula:
Therefore, the probability of rolling a 1 is gotten to be:
The probability is 1/6.
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Answer:
a) (x³ -x² +x +2) +2/(x+1)
b) (x² +2x -5) +6/(x+3)
Step-by-step explanation:
Polynomial long division is virtually identical to numerical long division, except that the quotient term does not require any guessing. It is simply the ratio of the leading terms of the dividend and divisor. As with numerical long division, the product of the quotient term and the divisor is subtracted from the dividend to form the new dividend for the next step.
The process stops when the dividend is of lower degree than the divisor.
In part (a), you need to make sure the dividend expression has all of the powers of x present. This means terms 0x³ and 0x² must be added as placeholders in the given dividend. They will become important as the work progresses.
