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WorksheetsC6 : POLYNOMIALS - L3
Total questions: 20
Worksheet time: 2hrs 35mins
Write the polynomial in standard form given the following zeros. x = -2, 1, 4
f(x) = (x+2)(x-1)(x-4)
f(x) =x3 - 3x2 - 6x + 8
f(x) = x3 + 8
f(x) = x3 - 3x2 + 8
A quadratic polynomial can have at most ......... zeroes
3
2
4
1
For the polynomial x2 - 9x + 7, sum of zeroes will be
-9
7
9
-7
P(x) = 3x4+4x-8 have?
If p(x) = ax + b, then zero of p(x)
a
b
-a/b
-b/a
A polynomial of degree n has
only 1 zero
exactly n zeroes
almost n zeroes
more than n zeroes
A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is
x 2 – 6 x + 2
x 2 – 36
x 2 – 6
x 2 – 3
10x2 + 15x-5
Figure out which one "works" and can be used to find the others.
f(x) = x3 - 8x2 - 23x + 30
Solve for the values of x:
3(x - 5)(x - 5) = 0
{ 5 }
{0, 5 }
{ -5, -5 }
{ -5, 5, 0 }
P(x)=3x4-7x2-2x7-x+4
Find all the real zeros of the function
y = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.
x = 1/2, -6
x = -1/2, 6
x = 4, -1/2, 6
x = -4, 1/2, -6
Find all zeroes given a factor of (x+3).
y = 2x3 + 5x2 - 6x - 9
-1,-3,-3
-1,-3,3/2
3,3,3
-3,2/3,-1
(x3 - 3x2 + 2x + 2)?
(Hint: Use quadratic formula for x2+3x+1)
y = x(x - 6)(x + 5)
