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Solution set = {15 ≤ x < 5} The solution set can be graphed on the number line as Question 12 Solve and graph the solution set of (i) 2x – 9 < 7 and 3x 9 ≤ 25, x ∈ R (ii) 2x – 9 ≤ 7 and 3x 9 > 25, x ∈ I (iii) x 5 ≥ 4(x – 1) and 3 – 2x < 7, x ∈ R Solution Question 13 Solve and graph the solution set of (i) 3x(iv) p(x)=kx 2 –3xk Solution If x1 is a factor of p(x), then p(1) = 0 By Factor Theorem ⇒ k(1) 2 –3(1)k = 0 ⇒ k−3k = 0 ⇒ 2k−3 = 0 ⇒ k= 3/2 4 Factorize (i) 12x 2 –7x1 Solution Using the splitting the middle term method, We have to find a number whose sum = 7 and product =1×12 = 12If p(x) is a third degree polynomial and q(x) is a fourth degree polynomial then find the degree of p(x) × q(x) Answer i p(x) = x 2 3x 1 , q(x) = 2x – 4 If P X X3 3x2 5x 3 And G X X2 2 Find Remainder Mathematics Topperlearning Com T7tfrb44 P(x)=3x solution