Question

2x³+7x²+2x-3 factorise​

Answer 1

Answer:

Explanation:

(

+

1

)

(

+

3

)

(

2

−

1

)

Answer 2

Answer:

(2x-1) (x+3)

Explanation:

2x³+7x²+2x-3

By factor theorem

p(x) = 2x³+7x²+2x-3

{ Factors of 3 = -1, 1,-3, 3}

p(-1) = 2×(-1)³+7×(-1)²+2×(-1)-3

= -2+7-2-3

= -4-3+7

=-7+7

= 0

x-1=0

x=1

Now divide 2x³+7x²+2x-3 by x+1

Quotient = 2x²+5x-3

2x²+5x-3

2x²+6x-x-3

(2x²+6x) - (x+3)

2x(x+3)-1(x+3)

(2x-1)(x+3)

ThAnKs!