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(Solved): B1. (a) Factorize \( 8 x^{3}+16 x^{2}+6 x \). (3 marks) (b) If \( f(x)=3 x^{2}+2 x-2 \), find the v ...




B1. (a) Factorize \( 8 x^{3}+16 x^{2}+6 x \).
(3 marks)
(b) If \( f(x)=3 x^{2}+2 x-2 \), find the value of \( f(-4) \).
(2 ma
B1. (a) Factorize \( 8 x^{3}+16 x^{2}+6 x \). (3 marks) (b) If \( f(x)=3 x^{2}+2 x-2 \), find the value of \( f(-4) \). (2 marks) B2. Bar chart below shows the sales of Android TV in a shop: (a) Find the sales of Android TV in Mar. (1 mark) (b) Find the total sales of Android TV from Jan to May. (2 marks) (c) Which month shows the lowest in sales? (1 mark) (d) Which month shows the highest in sales? \( (1 \operatorname{mark}) \) B3. (a) Simplify \( \frac{\left(a^{x} b^{2}\right)^{2}}{a^{2} b} \) (2 marks) (b) Solve \( 4^{(x+3)}=13^{x} \), (answer in 4 d.p.) (3 marks) B4. Given a geometric progression with the following terms \[ 15360,7680,3840, \ldots \ldots, 15 . \] (a) Find the first term, \( a \) and the common ratio, \( R \). (1 mark) (b) Find the number of terms in the progression. (2 marks) (c) If the progression is to extend infinitely, find the sum of the infinite (2 marks) geometric progression.


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B1 ) a) Here we have to factorize 8x3+16x2+6x so , 8x3+16x2+6x =x(8x2+16x+6) =x(8x2+12x+4x+6) =x{4x(2x+3)+2(2x+3)} =x(2x+3)(4x+2) =2x(2x+3)(2x+1) b) H
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