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Practice each question, then open the answer or worked solution.
(x + a) (x + b) = x2 + (a + b) x + ________.
Solution:-
(x + a) (x + b) = x2 + (a + b) x + ab
= (x + a) (x + b)
= x × (x + b) + a × (x + b)
= x2 + xb + xa + ab
= x2 + x (b + a) + ab
The product of two polynomials is a ________.
Solution:-
The product of two polynomials is a polynomial.
Common factor of ax2 + bx is __________.
Solution:-
Common factor of ax2 + bx is x (ax + b)
Factorised form of 18mn + 10mnp is ________.
Solution:-
Factorised form of 18mn + 10mnp is 2mn (9 + 5p)
= (2 × 9 × m × n) + (2 × 5 × m × n × p)
= 2mn (9 + 5p)