Question

6x square + 17x + 5 Factories by factor theorem

Answer 1

Hey!!!...Here is ur answer

6x^2+17x+5

=6x^2+15x+2x+5

=3x (2x+5)+1 (2x+5)

=(2x+5)(3x+1)

Hope it will help you

Answer 2

$\huge{\underline{\underline{\bf{\red{Question:}}}}}$

Factories by factor Theorem :-

6x²+ 17x + 5

$\huge {\underline{\bf {\red {Answer: }}}}$

✧Factor Theorem :- if p(x) is a polynomial of degree n>1 and a is any real number, then -

( i ) x-a is a Factor of p(x), If p(a) = 0

( ii ) p(a) = 0,if x - a is a factor of p(x).

☆ Factorisation by Factor theorem :-

${6x}^{2} \: + 17x \: + 5 = 6(x + \frac{1}{3}) (x + \frac{5}{2} \\ \\ = > 6( \frac{3x + 1}{3})( \frac{2x + 5}{2} ) \\ \\ = > (3x + 1)(2x + 5)$

☆ Factorisation by splitting the middle term :-

6x² + 17x +5

=> 6x² + 2x + 15x +5

=> 2x ( 3x+1) +5 ( 3x+1)

=> (3x+1) (2x+5)