What are the zeros of the trinomial $4 x^{2} - 17 x + 4$ $4x^2-17x+4$ ?

Question

What are the zeros of the trinomial $4 x^{2} - 17 x + 4$ $4x^2-17x+4$ ?

1 Answer

Impact of this question

2487 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-30T20:09:44

$x = \frac{1}{4}, x = 4$ $x=1/4,x=4$

Explanation:

$factorise the trinomial and equate to zero$ $"factorise the trinomial and equate to zero"$

$the factors of + 16 which sum to - 17 are - 16 and - 1$ $"the factors of + 16 which sum to - 17 are - 16 and - 1"$

$\Rightarrow 4 x^{2} - 16 x - x + 4$ $rArr4x^2-16x-x+4$

$= 4 x (x - 4) - 1 (x - 4) \leftarrow factor by grouping$ $=color(red)(4x)(x-4)color(red)(-1)(x-4)larrcolor(blue)"factor by grouping"$

$= (x - 4) (4 x - 1)$ $=(x-4)(color(red)(4x-1))$

$\Rightarrow (x - 4) (4 x - 1) = 0$ $rArr(x-4)(4x-1)=0$

$equate each factor to zero and solve for x$ $"equate each factor to zero and solve for x"$

$x - 4 = 0 \Rightarrow x = 4$ $x-4=0rArrx=4$

$4 x - 1 = 0 \Rightarrow x = \frac{1}{4}$ $4x-1=0rArrx=1/4$

Science

Math

Humanities

... and beyond

What are the zeros of the trinomial $4 x^{2} - 17 x + 4$ $4x^2-17x+4$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What are the zeros of the trinomial 4x2−17x+44x^2-17x+4?

1 Answer

Explanation:

Related questions

Impact of this question

What are the zeros of the trinomial $4 x^{2} - 17 x + 4$ $4x^2-17x+4$ ?