find the zeroes of a quadratic polynomial 16xsquare -47x+15
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10th
Maths
Polynomials
Relationship between Zeroes and Coefficients of a Polynomial
One zero of the polynomial ...
MATHS
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Asked on December 27, 2019 by
Shibendu Sayyed
One zero of the polynomial 3x
3
+16x
2
+15x−18 is
3
2
. Find the other zeros of the polynomial.
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ANSWER
p(x)=3x
3
+16x
2
+15x−18
x=
3
2
x−
3
2
=0
3
3x−2
=0
⇒3x−2=0
x
2
+6x+9
____________________
3x−2)3x
3
+16x
2
+15x−18
3x
2
−2x
2
(−) (+)
______________________
18x
2
+15x−18
18x
2
−12x
____________________
27x−18
27x−18
________________
0
________________
x
2
+6x+9
x
2
+3x+3x+9
x(x+3)+3(x+3)
(x+3)(x+3)
zeroes
x+3=0 x+3=0
x=−3 x=−3
Zeroes of p(x)=−3,−3,
3
2