answer plzz....,........................
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Answer:
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Step-by-step explanation:
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Ogmore
11.01.2019
Math
Secondary School
+5 pts
Answered
find the zeroes of the quadratic polynomial 3x2-x-4 and verify the relationship between the zeroes and coefficient.
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can u rewrite the equation
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<b ><i > Hey Mateyy!
Answer => In the attachment!
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RenatoMattice Ambitious
Answer: Roots of quadratic polynomials are \frac{4}{3},-1
Step-by-step explanation:
Since we have given that
3x^2-x-4
First we will find the zeroes of the quadratic polynomial.
We will use "Split the middle terms":
3x^2-x-4=0\\\\3x^2+3x-4x-4=0\\\\3x(x+1)-4(x+1)=0\\\\(3x-4)(x+1)=0\\\\x=\frac{4}{3},-1
Now, Let, \alpha =\frac{4}{3},\beta =-1
Now, we will verify the relationship between the zeroes and coefficient.
Sum of zeroes is given by
\alpha +\beta =\frac{4}{3}-1=\frac{1}{3}\\\\\alpha \beta =-1\times \frac{4}{3}=\frac{-4}{3}\\and\\\\\alpha +\beta =\frac{-b}{a}=\frac{1}{3},\alpha\beta =\frac{c}{a}=\frac{-4}{3}
Hence, verified.
Roots of quadratic polynomials are \frac{4}{3},-1
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