Question

3x² + 33x + 30 = 0 factorise​

Answer 1

Solution:-

Given Quadratic Polynomial Equation:-

• 3x² + 33x + 30 = 0

=) 3x² + 33x + 30 = 0

=) 3x² + ( 30 + 3)x + 30 = 0

=) 3x² + 30x + 3x + 30 = 0

=) 3x ( x + 10 ) +3 ( x + 10 )

=) ( x + 10 ) and ( 3x + 3 )

=) [ x = -10 ] and [ x = -1 ]

Steps to Solve Questions by Splitting the Middle Term:-

• First, we splitt the middle term such that the sum of splitted term is equal to the Original term.

Ex:- 33x = ( 30 + 3)x

• We too see that the product of the splitted term should be equal to the product of first and last term.

Ex:- 3 × 30 [ Product of Splitted term] = 3 × 30 [ Product of First and last term ]

=) 0 = 0.

Answer 2

Answer:

-10 or -1

Step-by-step explanation:

3x^2 +33x+30=0

3x^2+30x+3x+30=0

3X(X+10)+3(X+10)=0

(X+10) +(3X+3)=0

X+10=0 3X+3 =0

X=-10 X=-3/3 =-1