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Mathematics
6. Factorization of Polynomials
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Q8 of 96 Page 6

Give one example each of a binomial of degree 35, and of a monomial of degree 100

Example of a binomial with degree 35 is 7x35 – 5.

Example of a monomial with degree 100 is 2t100.


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All 96 →
6

Identify polynomials in the following:

(i) f(x) = 4x3-x2-3x+7


(ii) g(x) = 2x3-3x2+-1


(iii) p(x) = x2-x+9


(iv) q(x) = 2x2-3x++2


(v) h(x) = x4-+x-1


(vi) f(x) = 2++4x

7

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

(i) f(x) =0 (ii) g(x) = 2x3-7x+4


(iii) h(x) = -3x+


(iv) p(x) = 2x2-x+4


(v) q(x) = 4x+3 (vi) r(x) = 3x3+4x2+5x-7

1

If f(x) = 2x3-13x2+17x+12, find

(i) f(2) (ii) f(-3) (iii) f(0)

2

Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:

(i) f(x) = 3x+1; x =


(ii) f(x) = x2-1; x = 1, -1


(iii) g(x) = 3x2-2; x = , -


(iv) p(x) = x3-6x2+11x-6, x = 1,2,3


(v) f(x) = 5x-π, x=


(vi) f(x) = x2, x=0


(vii) f(x) =1x+m, x=


(viii) f(x) = 2x+1, x =

Questions · 96
6. Factorization of Polynomials
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