What are the zeros of the trinomial #4x^2-17x+4#?
1 Answer
Oct 30, 2017
Explanation:
#"factorise the trinomial and equate to zero"#
#"the factors of + 16 which sum to - 17 are - 16 and - 1"#
#rArr4x^2-16x-x+4#
#=color(red)(4x)(x-4)color(red)(-1)(x-4)larrcolor(blue)"factor by grouping"#
#=(x-4)(color(red)(4x-1))#
#rArr(x-4)(4x-1)=0#
#"equate each factor to zero and solve for x"#
#x-4=0rArrx=4#
#4x-1=0rArrx=1/4#
