Question

Check whether a+2 is a factor of 4a⁴+2a³-3a²-48a+59

Answer 1

EXPLANATION

• GIVEN

a + 2 is a factor of equation

4a^4 + 2a^3 - 3a^2 - 48a + 59

CHECK (a + 2 ) IS FACTOR OR NOT.

Let a + 2 =0

a = -2

put the value of a in above equation.

4(-2)^4 + 2(-2)^3 - 3(-2)^2 - 48(-2) + 59 = 0

64 - 16 - 12 + 96 + 59 = 0

219 - 28 = 0

191 = 0

therefore,

a + 2 is not a factor of equation

$a + 2 \: \ne \: 0$

Answer 2

Question:

Check whether a+2 is a factor of 4a⁴+2a³-3a²-48a+59.

Answer:

$a + 2 \not = 0$

$\therefore \underline\bold{a + 2 \: is \: not \: a \: factor.}$

Step-by-step explanation:

$If \: \underline{a + 2 = 0}, \: then$

$\boxed{a = - 2}$

$4 {a}^{4} + 2 {a}^{3} - 3 {a}^{2} - 48a + 59 = 0$

Now substituting the value of a,

$4 {( - 2)}^{4} + 2 ({ - 2)}^{3} - 3 {( - 2)}^{2} - 48( - 2) + 59 = 0$

$4(16) + 2( - 8) - 3(4) + 96 + 59 = 0$

$64 - 16 - 12 + 105 = 0$

$191 \not = 0$

$\therefore \underline\bold{a + 2 \: is \: not \: a \: factor.}$