(1) Factorize the following:
(i) x2 + 10x + 24
(ii) z2 + 4z - 12
(iii) p2 - 6p - 16
(iv) t2 + 72 - 17t
(v) y2 - 16y - 80
(vi) a2 + 10a - 600 Solution
(2) Factorize the following:
(i) 2x2 + 9a + 10
(ii) 5x2 - 29xy - 42y2
(iii) 9 - 18x + 8x2
(iv) 6x2 + 16xy + 8y2
(v) 12x2 + 36x2y + 27y2x2
(vi) (a + b)2 + 9(a + b) + 18 Solution
(3) Factorize the following:
(i) (p - q)2 - 6(p - q) - 16
(ii) m2 + 2mn - 24n2
(iii) √5 a2 + 2a - 3√5
(iv) a4 - 3a2 + 2
(v) 8m3 - 2m2n - 15mn2
(vi) (1/x2) + (1/y2) + (2/xy) Solution
Factorize the following cubic polynomials :
(1) x3 - 2x2 - 5 x + 6
(2) 4x3 - 7x + 3
(3) x3-23x2+142x-120
(4) 4x3-5x2+7x-6
(5) x3 - 7x + 6
(6) x3 +13x2+32x+20 Solution
Factorize the following quadratic polynomial using box method :
(1) 3x2 + 19x + 6
(2) 5y2 - 29y + 20
(3) 2x2 + 17x - 30
(4) 18x2 - x - 4 Solution
Find least common multiple by factoring :
(1) 4x2y, 8x3y2
(2) -9a3b2, 12a2b2c
(3) 16m, -12m2n2, 8n2
(4) p2 − 3p +2, p2 - 4
(5) 2x2 - 5x -3, 4x2 -36
(6) (2x2 -3xy)2, (4x -6y)3, 8x3 -27y3
Factor the following polynomial :
(1) 4x + 8
(2) 16a + 64b - 4c
(3) 36x - 16
(4) 35 + 21a
(5) 4a - 8b + 5ax - 10bx Solution
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