Math, asked by bg601267, 1 month ago

write the two factors of the algebraic expression x²+px+q if p=a+b and q=a×b. explain steps by step​

Answers

Answered by ItzShizuka50
62

Answer:

Solution:

The factors of the polynomial are

  \sf{(x + a)  \: \: and \: (x + b)}

 \sf{p = a + b}

 \sf{q = ab}

Find factors of polynomial:

 \sf{ {x}^{2}  + px + q =  {x}^{2} + (a + b)x + ab = 0 }

  \sf{ {x}^{2}  + ax + bx + ab = 0}

 \sf{(x + a)(x + b) = 0}

Answered by chelsistar9171
10

Answer:

(x+a)(x+b)

Step-by-step explanation:

x^2+ax+bx+ab

x(x+a)+b(x+a)

(x+a)(X+b)

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