Answer: D - 15/17
Explanation: it is the only answer that keeps continuing on forever when divided
Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
The LCM of 15 and 50 is 150
Answer:
point
Step-by-step explanation:
The expression above is an example of a polynomial. See the explanation below for how it works.
<h3>What is a polynomial?</h3>
Polynomials are the sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
<h3>What is an example of how a polynomial works?</h3>
Let us use the following exercise.
Give an examples polynomials p(x),g(x),q(x) and r(x), which satisfy the division algorithm and (i) deg p(x)=deg q(x)
<h3>What is the solution to the above?</h3>
(i) deg p(x) = deg q(x)
Recall the formula
Dividend = Divisor x quotient + Remainder
p(x)=g(x)×q(x)+r(x)
When the divisor is constant, the degree of quotient equals the degree of dividend.
Let us assume the division of 4x² by 2.
Here, p(x)=4x²
g(x)=2
q(x)= 2x² and r(x)=0
Degree of p(x) and q(x) is the same i.e., 2.
Checking for division algorithm,
p(x)=g(x)×q(x)+r(x)
4x² =2(2x²2)
Hence, the division algorithm is satisfied.
Learn more about Polynomial:
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