Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.
Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.
(x + 1)
(2x + 1)
(x + 2)
(5x + 1)
(5x – 2)
Solution :
By multiplying (5x - 2) and (x + 2), the given trinomial will be obtain as follow.
(5x - 2) (x + 2) = (5x x) + (5x 2) - (2 x) - (2 * 2)
= 5x^2 + 10x - 2x - 4
= 5x^2 + 8x - 4
Answer:
Multiplying \((5x+2)\) and \((x+2)\) we can get the trinomial \(5x^2+8x-4\).
Step-by-step explanation:
The given trinomial is,
\(=5x^2+8x-4\)
By middle term factorization,
\(=5x^2+10x-2x-4\)
\(=5x(x+2)-2(x+2)\)
\(=(5x+2)(x+2)\)
Therefore, multiplying \((5x+2)\) and \((x+2)\) we can get the trinomial \(5x^2+8x-4\).