Question

check using division if
X+ 3 is a factor of x² + 8x+21​

Answer 1

Answer:

x+3 is not a factor of x square+8x+21

Hope this will help you

Thanks

Answer 2

Answer:

No

Note:

★ Factor theorem : If the remainder obtained on dividing the polynomial p(x) by another polynomial g(x) is zero , then g(x) is a factor of p(x) .

★ If g(x) is a factor of the polynomial p(x) , then the remainder obtained on dividing the polynomial p(x) by g(x) is zero .

Explaination:

• For division of x² + 8x + 21 by x + 3 , please refer to the attachment .

• Here, the remainder obtained on dividing the polynomial x² + 8x + 21 by

x + 3 is not zero , thus x + 3 is not a factor of the polynomial x² + 8x + 21 .