Question

We know that -3 and2 are the
quadratic Polynomial x²+(a+1)+b
find the value
of a and b​

Answer 1

CORRECT QUESTION:—

We know that -3 and2 are the zeros of

quadratic Polynomial x²+(a+1)x +b . Find the value

of a and b.

$\Huge{\color{skyblue}{\fbox{\textsf{\textbf{Answer:-}}}}}$

Given ,

• Quadratic polynomial → x²+(a+1)x +b --------(1)
• Two zeros → -3 and 2 .

Formation of quadratic polynomial :—

$\bold {\boxed{ \implies \mathtt{ {x}^{2} - \: (sum \: of \: zeros) x+ poduct \: of \: zeros }}}$

Now,

• Sum of zeros → -3 + 2 = -1
• Product of zeros → (-3) × 2 = -6

So, the quadratic polynomial that is formed by the above mentioned zeros:—

$\bold{{ \mathtt{\implies {x}^{2} - ( - 1)x + ( - 6)}}}$

$\bold { \boxed{ \mathcal{\implies {x}^{2} + x - 6}}} \:$

On comparing with (1) we get ,

$\small{ \mathtt{a + 1 = 1}}$

$\implies \bold{ \boxed{ \mathtt{\: a = 0}}}$

And ,

$\bold{ \boxed{ \mathtt{b \: = 6}}}$