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nadezda [96]
2 years ago
11

%5E%7B2%7D%20" id="TexFormula1" title=" { \alpha }^{2} \beta + \alpha { \beta }^{2} " alt=" { \alpha }^{2} \beta + \alpha { \beta }^{2} " align="absmiddle" class="latex-formula">
Please solve this ​
Mathematics
1 answer:
sineoko [7]2 years ago
4 0
If a and B are the zoros of the quadratic polynomial p(x)=4x^2 - 5x-1, find value of a^2B + aB^2 .

Solution

SINCE a and B are the roots of the polynomial: 4x^2-5x-1

Sum of the roots a+B =5/4

Product of the roots aB=-1/4

HENCE

a^2B+aB^2=aB(a+B)=5/4(-1/4)=-5/16

Concept:Relationship Between Zeroes and coefficients of a Polynomial
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Darina [25.2K]

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Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?
lesantik [10]
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